3(6x^2-5)-[5(2x^2-5)+2]=

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Solution for 3(6x^2-5)-[5(2x^2-5)+2]= equation:


Simplifying
3(6x2 + -5) + -1[5(2x2 + -5) + 2] = 0

Reorder the terms:
3(-5 + 6x2) + -1[5(2x2 + -5) + 2] = 0
(-5 * 3 + 6x2 * 3) + -1[5(2x2 + -5) + 2] = 0
(-15 + 18x2) + -1[5(2x2 + -5) + 2] = 0

Reorder the terms:
-15 + 18x2 + -1[5(-5 + 2x2) + 2] = 0
-15 + 18x2 + -1[(-5 * 5 + 2x2 * 5) + 2] = 0
-15 + 18x2 + -1[(-25 + 10x2) + 2] = 0

Reorder the terms:
-15 + 18x2 + -1[-25 + 2 + 10x2] = 0

Combine like terms: -25 + 2 = -23
-15 + 18x2 + -1[-23 + 10x2] = 0
-15 + 18x2 + [-23 * -1 + 10x2 * -1] = 0
-15 + 18x2 + [23 + -10x2] = 0

Reorder the terms:
-15 + 23 + 18x2 + -10x2 = 0

Combine like terms: -15 + 23 = 8
8 + 18x2 + -10x2 = 0

Combine like terms: 18x2 + -10x2 = 8x2
8 + 8x2 = 0

Solving
8 + 8x2 = 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 + 8x2 = 0 + -8

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

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

Divide each side by '8'.
x2 = -1

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + x2 = 0

The solution to this equation could not be determined.

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