2(3x^2-5)-[4(2x^2-1)+3]=

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Solution for 2(3x^2-5)-[4(2x^2-1)+3]= equation:


Simplifying
2(3x2 + -5) + -1[4(2x2 + -1) + 3] = 0

Reorder the terms:
2(-5 + 3x2) + -1[4(2x2 + -1) + 3] = 0
(-5 * 2 + 3x2 * 2) + -1[4(2x2 + -1) + 3] = 0
(-10 + 6x2) + -1[4(2x2 + -1) + 3] = 0

Reorder the terms:
-10 + 6x2 + -1[4(-1 + 2x2) + 3] = 0
-10 + 6x2 + -1[(-1 * 4 + 2x2 * 4) + 3] = 0
-10 + 6x2 + -1[(-4 + 8x2) + 3] = 0

Reorder the terms:
-10 + 6x2 + -1[-4 + 3 + 8x2] = 0

Combine like terms: -4 + 3 = -1
-10 + 6x2 + -1[-1 + 8x2] = 0
-10 + 6x2 + [-1 * -1 + 8x2 * -1] = 0
-10 + 6x2 + [1 + -8x2] = 0

Reorder the terms:
-10 + 1 + 6x2 + -8x2 = 0

Combine like terms: -10 + 1 = -9
-9 + 6x2 + -8x2 = 0

Combine like terms: 6x2 + -8x2 = -2x2
-9 + -2x2 = 0

Solving
-9 + -2x2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -2x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x2 = 0 + 9
-2x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-2x2 = 9

Divide each side by '-2'.
x2 = -4.5

Simplifying
x2 = -4.5

Reorder the terms:
4.5 + x2 = -4.5 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
4.5 + x2 = 0.0

The solution to this equation could not be determined.

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