X*X+7*X-12=5*X-4

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Solution for X*X+7*X-12=5*X-4 equation: 


Simplifying
X * X + 7X + -12 = 5X + -4

Multiply X * X
X2 + 7X + -12 = 5X + -4

Reorder the terms:
-12 + 7X + X2 = 5X + -4

Reorder the terms:
-12 + 7X + X2 = -4 + 5X

Solving
-12 + 7X + X2 = -4 + 5X

Solving for variable 'X'.

Reorder the terms:
-12 + 4 + 7X + -5X + X2 = -4 + 5X + 4 + -5X

Combine like terms: -12 + 4 = -8
-8 + 7X + -5X + X2 = -4 + 5X + 4 + -5X

Combine like terms: 7X + -5X = 2X
-8 + 2X + X2 = -4 + 5X + 4 + -5X

Reorder the terms:
-8 + 2X + X2 = -4 + 4 + 5X + -5X

Combine like terms: -4 + 4 = 0
-8 + 2X + X2 = 0 + 5X + -5X
-8 + 2X + X2 = 5X + -5X

Combine like terms: 5X + -5X = 0
-8 + 2X + X2 = 0

Factor a trinomial.
(-4 + -1X)(2 + -1X) = 0


Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve:

Simplifying
-4 + -1X = 0

Solving
-4 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -1X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1X = 0 + 4
-1X = 0 + 4

Combine like terms: 0 + 4 = 4
-1X = 4

Divide each side by '-1'.
X = -4

Simplifying
X = -4

Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-4, 2}

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