x^2+19+4x-4=180

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Solution for x^2+19+4x-4=180 equation:


Simplifying
x2 + 19 + 4x + -4 = 180

Reorder the terms:
19 + -4 + 4x + x2 = 180

Combine like terms: 19 + -4 = 15
15 + 4x + x2 = 180

Solving
15 + 4x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
15 + -180 + 4x + x2 = 180 + -180

Combine like terms: 15 + -180 = -165
-165 + 4x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-165 + 4x + x2 = 0

Factor a trinomial.
(-15 + -1x)(11 + -1x) = 0

Subproblem 1

Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15

Subproblem 2

Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11

Solution

x = {-15, 11}

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