Solve 2x ^ 2 - 78 + 6 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2x^{2}-78+6$$

Factor

$2\left(x-6\right)\left(x+6\right)$

Solution Steps

Factor out $2$.

$$2\left(x^{2}-36\right)$$

Consider $x^{2}-39+3$. Multiply and combine like terms.

$$x^{2}-36$$

Consider $x^{2}-36$. Rewrite $x^{2}-36$ as $x^{2}-6^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(x-6\right)\left(x+6\right)$$

Rewrite the complete factored expression.

$$2\left(x-6\right)\left(x+6\right)$$

Evaluate

$2\left(x^{2}-36\right)$