X^2+5X-12X-60=0

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Solution for X^2+5X-12X-60=0 equation:


Simplifying
X2 + 5X + -12X + -60 = 0

Reorder the terms:
-60 + 5X + -12X + X2 = 0

Combine like terms: 5X + -12X = -7X
-60 + -7X + X2 = 0

Solving
-60 + -7X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-5 + -1X)(12 + -1X) = 0

Subproblem 1

Set the factor '(-5 + -1X)' equal to zero and attempt to solve: Simplifying -5 + -1X = 0 Solving -5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1X = 0 + 5 -1X = 0 + 5 Combine like terms: 0 + 5 = 5 -1X = 5 Divide each side by '-1'. X = -5 Simplifying X = -5

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 = {-5, 12}

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