x^2+4x+30-6x=150

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Solution for x^2+4x+30-6x=150 equation:


Simplifying
x2 + 4x + 30 + -6x = 150

Reorder the terms:
30 + 4x + -6x + x2 = 150

Combine like terms: 4x + -6x = -2x
30 + -2x + x2 = 150

Solving
30 + -2x + x2 = 150

Solving for variable 'x'.

Reorder the terms:
30 + -150 + -2x + x2 = 150 + -150

Combine like terms: 30 + -150 = -120
-120 + -2x + x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-120 + -2x + x2 = 0

Factor a trinomial.
(-10 + -1x)(12 + -1x) = 0

Subproblem 1

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

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 = {-10, 12}

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