Algebra Examples

$5 + 2 x = 7 x^{2} - 7$

Step 1

Move all terms to the left side of the equation and simplify.

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Step 1.1

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

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Step 1.1.1

Subtract $7 x^{2}$ from both sides of the equation.

$5 + 2 x - 7 x^{2} = - 7$

Step 1.1.2

Add $7$ to both sides of the equation.

$5 + 2 x - 7 x^{2} + 7 = 0$

Step 1.2

Add $5$ and $7$ .

$2 x - 7 x^{2} + 12 = 0$

Step 2

Once the quadratic is in standard form, the values of $a$ , $b$ , and $c$ can be found.

$a x^{2} + b x + c$

Step 3

Use the standard form of the equation to find $a$ , $b$ , and $c$ for this quadratic.

$a = - 7$ , $b = 2$ , $c = 12$