7x^2+36=5x^2+256

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Solution for 7x^2+36=5x^2+256 equation:


Simplifying
7x2 + 36 = 5x2 + 256

Reorder the terms:
36 + 7x2 = 5x2 + 256

Reorder the terms:
36 + 7x2 = 256 + 5x2

Solving
36 + 7x2 = 256 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
36 + 7x2 + -5x2 = 256 + 5x2 + -5x2

Combine like terms: 7x2 + -5x2 = 2x2
36 + 2x2 = 256 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
36 + 2x2 = 256 + 0
36 + 2x2 = 256

Add '-36' to each side of the equation.
36 + -36 + 2x2 = 256 + -36

Combine like terms: 36 + -36 = 0
0 + 2x2 = 256 + -36
2x2 = 256 + -36

Combine like terms: 256 + -36 = 220
2x2 = 220

Divide each side by '2'.
x2 = 110

Simplifying
x2 = 110

Take the square root of each side:
x = {-10.488088482, 10.488088482}

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