7(3x^2-5)-[5(5x^2-1)+2]=

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Solution for 7(3x^2-5)-[5(5x^2-1)+2]= equation:


Simplifying
7(3x2 + -5) + -1[5(5x2 + -1) + 2] = 0

Reorder the terms:
7(-5 + 3x2) + -1[5(5x2 + -1) + 2] = 0
(-5 * 7 + 3x2 * 7) + -1[5(5x2 + -1) + 2] = 0
(-35 + 21x2) + -1[5(5x2 + -1) + 2] = 0

Reorder the terms:
-35 + 21x2 + -1[5(-1 + 5x2) + 2] = 0
-35 + 21x2 + -1[(-1 * 5 + 5x2 * 5) + 2] = 0
-35 + 21x2 + -1[(-5 + 25x2) + 2] = 0

Reorder the terms:
-35 + 21x2 + -1[-5 + 2 + 25x2] = 0

Combine like terms: -5 + 2 = -3
-35 + 21x2 + -1[-3 + 25x2] = 0
-35 + 21x2 + [-3 * -1 + 25x2 * -1] = 0
-35 + 21x2 + [3 + -25x2] = 0

Reorder the terms:
-35 + 3 + 21x2 + -25x2 = 0

Combine like terms: -35 + 3 = -32
-32 + 21x2 + -25x2 = 0

Combine like terms: 21x2 + -25x2 = -4x2
-32 + -4x2 = 0

Solving
-32 + -4x2 = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + -4x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -4x2 = 0 + 32
-4x2 = 0 + 32

Combine like terms: 0 + 32 = 32
-4x2 = 32

Divide each side by '-4'.
x2 = -8

Simplifying
x2 = -8

Reorder the terms:
8 + x2 = -8 + 8

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

The solution to this equation could not be determined.

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