5-2(3x^2-2x)=x^2-7-2x^2

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Solution for 5-2(3x^2-2x)=x^2-7-2x^2 equation: 


Simplifying
5 + -2(3x2 + -2x) = x2 + -7 + -2x2

Reorder the terms:
5 + -2(-2x + 3x2) = x2 + -7 + -2x2
5 + (-2x * -2 + 3x2 * -2) = x2 + -7 + -2x2
5 + (4x + -6x2) = x2 + -7 + -2x2

Reorder the terms:
5 + 4x + -6x2 = -7 + x2 + -2x2

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

Solving
5 + 4x + -6x2 = -7 + -1x2

Solving for variable 'x'.

Reorder the terms:
5 + 7 + 4x + -6x2 + x2 = -7 + -1x2 + 7 + x2

Combine like terms: 5 + 7 = 12
12 + 4x + -6x2 + x2 = -7 + -1x2 + 7 + x2

Combine like terms: -6x2 + x2 = -5x2
12 + 4x + -5x2 = -7 + -1x2 + 7 + x2

Reorder the terms:
12 + 4x + -5x2 = -7 + 7 + -1x2 + x2

Combine like terms: -7 + 7 = 0
12 + 4x + -5x2 = 0 + -1x2 + x2
12 + 4x + -5x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
12 + 4x + -5x2 = 0

Factor a trinomial.
(2 + -1x)(6 + 5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {2, -1.2}

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