Finite Math Examples

$6 x^{2} = - 60 x - 438$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Add $60 x$ to both sides of the equation.

$6 x^{2} + 60 x = - 438$

Step 1.2

Add $438$ to both sides of the equation.

$6 x^{2} + 60 x + 438 = 0$

Step 2

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 3

Substitute in the values of $a$ , $b$ , and $c$ .

$60^{2} - 4 (6 \cdot 438)$

Step 4

Evaluate the result to find the discriminant.

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Step 4.1

Simplify each term.

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Step 4.1.1

Raise $60$ to the power of $2$ .

$3600 - 4 (6 \cdot 438)$

Step 4.1.2

Multiply $- 4 (6 \cdot 438)$ .

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Step 4.1.2.1

Multiply $6$ by $438$ .

$3600 - 4 \cdot 2628$

Step 4.1.2.2

Multiply $- 4$ by $2628$ .

$3600 - 10512$

Step 4.2

Subtract $10512$ from $3600$ .

$- 6912$