Find the Discriminant 6x^2=8x+7

$6 x^{2} = 8 x + 7$

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

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Move $8 x$ to the left side of the equation by subtracting it from both sides.

$6 x^{2} - 8 x = 7$

Move $7$ to the left side of the equation by subtracting it from both sides.

$6 x^{2} - 8 x - 7 = 0$

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

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

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

${(- 8)}^{2} - 4 (6 \cdot - 7)$

Evaluate the result to find the discriminant.

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Simplify each term.

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Raise $- 8$ to the power of $2$ .

$64 - 4 (6 \cdot - 7)$

Multiply $6$ by $- 7$ .

$64 - 4 \cdot - 42$

Multiply $- 4$ by $- 42$ .

$64 + 168$

Add $64$ and $168$ .

$232$

Find the Discriminant 6x^2=8x+7

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