Basic Math Examples

$0.06 (4 t - 3) = 0.24 (t + 2) - 0.66$

Step 1

Simplify $0.06 (4 t - 3)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 0.06 (4 t - 3) = 0.24 (t + 2) - 0.66$

Step 1.2

Simplify by adding zeros.

$0.06 (4 t - 3) = 0.24 (t + 2) - 0.66$

Step 1.3

Apply the distributive property.

$0.06 (4 t) + 0.06 \cdot - 3 = 0.24 (t + 2) - 0.66$

Step 1.4

Multiply.

Tap for more steps...

Step 1.4.1

Multiply $4$ by $0.06$ .

$0.24 t + 0.06 \cdot - 3 = 0.24 (t + 2) - 0.66$

Step 1.4.2

Multiply $0.06$ by $- 3$ .

$0.24 t - 0.18 = 0.24 (t + 2) - 0.66$

Step 2

Simplify $0.24 (t + 2) - 0.66$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

$0.24 t - 0.18 = 0.24 t + 0.24 \cdot 2 - 0.66$

Step 2.1.2

Multiply $0.24$ by $2$ .

$0.24 t - 0.18 = 0.24 t + 0.48 - 0.66$

Step 2.2

Subtract $0.66$ from $0.48$ .

$0.24 t - 0.18 = 0.24 t - 0.18$

Step 3

Move all terms containing $t$ to the left side of the equation.

Tap for more steps...

Step 3.1

Subtract $0.24 t$ from both sides of the equation.

$0.24 t - 0.18 - 0.24 t = - 0.18$

Step 3.2

Subtract $0.24 t$ from $0.24 t$ .

$0 t - 0.18 = - 0.18$

Step 3.3

Multiply $0$ by $t$ .

$0 - 0.18 = - 0.18$

Step 3.4

Subtract $0.18$ from $0$ .

$- 0.18 = - 0.18$

Step 4

Since $- 0.18 = - 0.18$ , the equation will always be true for any value of $t$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$