Algebra Examples

$4 t - 2 + t^{2} = 6 + t^{2}$

Step 1

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

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Step 1.1

Subtract $t^{2}$ from both sides of the equation.

$4 t - 2 + t^{2} - t^{2} = 6$

Step 1.2

Combine the opposite terms in $4 t - 2 + t^{2} - t^{2}$ .

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Step 1.2.1

Subtract $t^{2}$ from $t^{2}$ .

$4 t - 2 + 0 = 6$

Step 1.2.2

Add $4 t - 2$ and $0$ .

$4 t - 2 = 6$

Step 2

Move all terms not containing $t$ to the right side of the equation.

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Step 2.1

Add $2$ to both sides of the equation.

$4 t = 6 + 2$

Step 2.2

Add $6$ and $2$ .

$4 t = 8$

Step 3

Divide each term in $4 t = 8$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 t = 8$ by $4$ .

$\frac{4 t}{4} = \frac{8}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 t}{4} = \frac{8}{4}$

Step 3.2.1.2

Divide $t$ by $1$ .

$t = \frac{8}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $8$ by $4$ .

$t = 2$