x*x+x-30=12

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Solution for x*x+x-30=12 equation:


Simplifying
x * x + x + -30 = 12

Multiply x * x
x2 + x + -30 = 12

Reorder the terms:
-30 + x + x2 = 12

Solving
-30 + x + x2 = 12

Solving for variable 'x'.

Reorder the terms:
-30 + -12 + x + x2 = 12 + -12

Combine like terms: -30 + -12 = -42
-42 + x + x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-42 + x + x2 = 0

Factor a trinomial.
(-7 + -1x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-7, 6}

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