-3(x^2-2)-2(2x^2-1)=

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


Simplifying
-3(x2 + -2) + -2(2x2 + -1) = 0

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

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

Reorder the terms:
6 + 2 + -3x2 + -4x2 = 0

Combine like terms: 6 + 2 = 8
8 + -3x2 + -4x2 = 0

Combine like terms: -3x2 + -4x2 = -7x2
8 + -7x2 = 0

Solving
8 + -7x2 = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -7x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x2 = 0 + -8
-7x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-7x2 = -8

Divide each side by '-7'.
x2 = 1.142857143

Simplifying
x2 = 1.142857143

Take the square root of each side:
x = {-1.069044968, 1.069044968}

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