Question

what is the answer
2x ± 2x^2 - 180=0​

Answer 1

Answer:

Simplifying 2x2 + -2x + -180 = 0

Reorder the terms: -180 + -2x + 2x2 = 0

Solving -180 + -2x + 2x2 = 0 Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'. 2(-90 + -1x + x2) = 0 Factor a trinomial.

2((-9 + -1x)(10 + -1x)) = 0 Ignore the factor 2.

Subproblem 1

Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9

Combine like terms: 0 + 9 = 9 -1x = 9

Divide each side by '-1'. x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10

Divide each side by '-1'.

x = 10

Simplifying x = 10

Solution

x = {-9, 10}

Step-by-step explanation:

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