2(-3x^2+6x+1)-2(4x^2-3x+1)=

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Solution for 2(-3x^2+6x+1)-2(4x^2-3x+1)= equation: 


Simplifying
2(-3x2 + 6x + 1) + -2(4x2 + -3x + 1) = 0

Reorder the terms:
2(1 + 6x + -3x2) + -2(4x2 + -3x + 1) = 0
(1 * 2 + 6x * 2 + -3x2 * 2) + -2(4x2 + -3x + 1) = 0
(2 + 12x + -6x2) + -2(4x2 + -3x + 1) = 0

Reorder the terms:
2 + 12x + -6x2 + -2(1 + -3x + 4x2) = 0
2 + 12x + -6x2 + (1 * -2 + -3x * -2 + 4x2 * -2) = 0
2 + 12x + -6x2 + (-2 + 6x + -8x2) = 0

Reorder the terms:
2 + -2 + 12x + 6x + -6x2 + -8x2 = 0

Combine like terms: 2 + -2 = 0
0 + 12x + 6x + -6x2 + -8x2 = 0
12x + 6x + -6x2 + -8x2 = 0

Combine like terms: 12x + 6x = 18x
18x + -6x2 + -8x2 = 0

Combine like terms: -6x2 + -8x2 = -14x2
18x + -14x2 = 0

Solving
18x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(9 + -7x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + -7x)' equal to zero and attempt to solve:

Simplifying
9 + -7x = 0

Solving
9 + -7x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = 0 + -9
-7x = 0 + -9

Combine like terms: 0 + -9 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286
Solution
x = {0, 1.285714286}

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