2x^2(x+2)=5(x^2+10x-5)

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Solution for 2x^2(x+2)=5(x^2+10x-5) equation:


Simplifying
2x2(x + 2) = 5(x2 + 10x + -5)

Reorder the terms:
2x2(2 + x) = 5(x2 + 10x + -5)
(2 * 2x2 + x * 2x2) = 5(x2 + 10x + -5)
(4x2 + 2x3) = 5(x2 + 10x + -5)

Reorder the terms:
4x2 + 2x3 = 5(-5 + 10x + x2)
4x2 + 2x3 = (-5 * 5 + 10x * 5 + x2 * 5)
4x2 + 2x3 = (-25 + 50x + 5x2)

Solving
4x2 + 2x3 = -25 + 50x + 5x2

Solving for variable 'x'.

Reorder the terms:
25 + -50x + 4x2 + -5x2 + 2x3 = -25 + 50x + 5x2 + 25 + -50x + -5x2

Combine like terms: 4x2 + -5x2 = -1x2
25 + -50x + -1x2 + 2x3 = -25 + 50x + 5x2 + 25 + -50x + -5x2

Reorder the terms:
25 + -50x + -1x2 + 2x3 = -25 + 25 + 50x + -50x + 5x2 + -5x2

Combine like terms: -25 + 25 = 0
25 + -50x + -1x2 + 2x3 = 0 + 50x + -50x + 5x2 + -5x2
25 + -50x + -1x2 + 2x3 = 50x + -50x + 5x2 + -5x2

Combine like terms: 50x + -50x = 0
25 + -50x + -1x2 + 2x3 = 0 + 5x2 + -5x2
25 + -50x + -1x2 + 2x3 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
25 + -50x + -1x2 + 2x3 = 0

The solution to this equation could not be determined.

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