x*x+3x=180

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Solution for x*x+3x=180 equation:


Simplifying
x * x + 3x = 180

Multiply x * x
x2 + 3x = 180

Reorder the terms:
3x + x2 = 180

Solving
3x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 3x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 3x + x2 = 0

Factor a trinomial.
(-15 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-15, 12}

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