4x^2-12x=-2x^2-5x-1

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Solution for 4x^2-12x=-2x^2-5x-1 equation: 


Simplifying
4x2 + -12x = -2x2 + -5x + -1

Reorder the terms:
-12x + 4x2 = -2x2 + -5x + -1

Reorder the terms:
-12x + 4x2 = -1 + -5x + -2x2

Solving
-12x + 4x2 = -1 + -5x + -2x2

Solving for variable 'x'.

Reorder the terms:
1 + -12x + 5x + 4x2 + 2x2 = -1 + -5x + -2x2 + 1 + 5x + 2x2

Combine like terms: -12x + 5x = -7x
1 + -7x + 4x2 + 2x2 = -1 + -5x + -2x2 + 1 + 5x + 2x2

Combine like terms: 4x2 + 2x2 = 6x2
1 + -7x + 6x2 = -1 + -5x + -2x2 + 1 + 5x + 2x2

Reorder the terms:
1 + -7x + 6x2 = -1 + 1 + -5x + 5x + -2x2 + 2x2

Combine like terms: -1 + 1 = 0
1 + -7x + 6x2 = 0 + -5x + 5x + -2x2 + 2x2
1 + -7x + 6x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
1 + -7x + 6x2 = 0 + -2x2 + 2x2
1 + -7x + 6x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
1 + -7x + 6x2 = 0

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


Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.1666666667, 1}

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