(8x^2)-4x-12=(12x^2)-25x-7

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Solution for (8x^2)-4x-12=(12x^2)-25x-7 equation: 


Simplifying
(8x2) + -4x + -12 = (12x2) + -25x + -7

Reorder the terms:
-12 + -4x + (8x2) = (12x2) + -25x + -7

Reorder the terms:
-12 + -4x + (8x2) = -7 + -25x + (12x2)

Solving
-12 + -4x + (8x2) = -7 + -25x + (12x2)

Solving for variable 'x'.

Reorder the terms:
-12 + 7 + -4x + 25x + (8x2) + (-12x2) = -7 + -25x + (12x2) + 7 + 25x + (-12x2)

Combine like terms: -12 + 7 = -5
-5 + -4x + 25x + (8x2) + (-12x2) = -7 + -25x + (12x2) + 7 + 25x + (-12x2)

Combine like terms: -4x + 25x = 21x
-5 + 21x + (8x2) + (-12x2) = -7 + -25x + (12x2) + 7 + 25x + (-12x2)

Combine like terms: (8x2) + (-12x2) = -4x2
-5 + 21x + -4x2 = -7 + -25x + (12x2) + 7 + 25x + (-12x2)

Reorder the terms:
-5 + 21x + -4x2 = -7 + 7 + -25x + 25x + (12x2) + (-12x2)

Combine like terms: -7 + 7 = 0
-5 + 21x + -4x2 = 0 + -25x + 25x + (12x2) + (-12x2)
-5 + 21x + -4x2 = -25x + 25x + (12x2) + (-12x2)

Combine like terms: -25x + 25x = 0
-5 + 21x + -4x2 = 0 + (12x2) + (-12x2)
-5 + 21x + -4x2 = (12x2) + (-12x2)

Combine like terms: (12x2) + (-12x2) = 0
-5 + 21x + -4x2 = 0

Factor a trinomial.
(-5 + x)(1 + -4x) = 0


Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 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 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

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

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {5, 0.25}

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