5x^2(2x+7)-6x(x-2)(x+2)-x^2=5(7x^2+6)

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Solution for 5x^2(2x+7)-6x(x-2)(x+2)-x^2=5(7x^2+6) equation:


Simplifying
5x2(2x + 7) + -6x(x + -2)(x + 2) + -1x2 = 5(7x2 + 6)

Reorder the terms:
5x2(7 + 2x) + -6x(x + -2)(x + 2) + -1x2 = 5(7x2 + 6)
(7 * 5x2 + 2x * 5x2) + -6x(x + -2)(x + 2) + -1x2 = 5(7x2 + 6)
(35x2 + 10x3) + -6x(x + -2)(x + 2) + -1x2 = 5(7x2 + 6)

Reorder the terms:
35x2 + 10x3 + -6x(-2 + x)(x + 2) + -1x2 = 5(7x2 + 6)

Reorder the terms:
35x2 + 10x3 + -6x(-2 + x)(2 + x) + -1x2 = 5(7x2 + 6)

Multiply (-2 + x) * (2 + x)
35x2 + 10x3 + -6x(-2(2 + x) + x(2 + x)) + -1x2 = 5(7x2 + 6)
35x2 + 10x3 + -6x((2 * -2 + x * -2) + x(2 + x)) + -1x2 = 5(7x2 + 6)
35x2 + 10x3 + -6x((-4 + -2x) + x(2 + x)) + -1x2 = 5(7x2 + 6)
35x2 + 10x3 + -6x(-4 + -2x + (2 * x + x * x)) + -1x2 = 5(7x2 + 6)
35x2 + 10x3 + -6x(-4 + -2x + (2x + x2)) + -1x2 = 5(7x2 + 6)

Combine like terms: -2x + 2x = 0
35x2 + 10x3 + -6x(-4 + 0 + x2) + -1x2 = 5(7x2 + 6)
35x2 + 10x3 + -6x(-4 + x2) + -1x2 = 5(7x2 + 6)
35x2 + 10x3 + (-4 * -6x + x2 * -6x) + -1x2 = 5(7x2 + 6)
35x2 + 10x3 + (24x + -6x3) + -1x2 = 5(7x2 + 6)

Reorder the terms:
24x + 35x2 + -1x2 + 10x3 + -6x3 = 5(7x2 + 6)

Combine like terms: 35x2 + -1x2 = 34x2
24x + 34x2 + 10x3 + -6x3 = 5(7x2 + 6)

Combine like terms: 10x3 + -6x3 = 4x3
24x + 34x2 + 4x3 = 5(7x2 + 6)

Reorder the terms:
24x + 34x2 + 4x3 = 5(6 + 7x2)
24x + 34x2 + 4x3 = (6 * 5 + 7x2 * 5)
24x + 34x2 + 4x3 = (30 + 35x2)

Solving
24x + 34x2 + 4x3 = 30 + 35x2

Solving for variable 'x'.

Reorder the terms:
-30 + 24x + 34x2 + -35x2 + 4x3 = 30 + 35x2 + -30 + -35x2

Combine like terms: 34x2 + -35x2 = -1x2
-30 + 24x + -1x2 + 4x3 = 30 + 35x2 + -30 + -35x2

Reorder the terms:
-30 + 24x + -1x2 + 4x3 = 30 + -30 + 35x2 + -35x2

Combine like terms: 30 + -30 = 0
-30 + 24x + -1x2 + 4x3 = 0 + 35x2 + -35x2
-30 + 24x + -1x2 + 4x3 = 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
-30 + 24x + -1x2 + 4x3 = 0

The solution to this equation could not be determined.

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