7x^2-100=-2x^2+125

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Solution for 7x^2-100=-2x^2+125 equation: 


Simplifying
7x2 + -100 = -2x2 + 125

Reorder the terms:
-100 + 7x2 = -2x2 + 125

Reorder the terms:
-100 + 7x2 = 125 + -2x2

Solving
-100 + 7x2 = 125 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
-100 + 7x2 + 2x2 = 125 + -2x2 + 2x2

Combine like terms: 7x2 + 2x2 = 9x2
-100 + 9x2 = 125 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-100 + 9x2 = 125 + 0
-100 + 9x2 = 125

Add '100' to each side of the equation.
-100 + 100 + 9x2 = 125 + 100

Combine like terms: -100 + 100 = 0
0 + 9x2 = 125 + 100
9x2 = 125 + 100

Combine like terms: 125 + 100 = 225
9x2 = 225

Divide each side by '9'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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