2x^2+15=3x^2-10

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Solution for 2x^2+15=3x^2-10 equation: 


Simplifying
2x2 + 15 = 3x2 + -10

Reorder the terms:
15 + 2x2 = 3x2 + -10

Reorder the terms:
15 + 2x2 = -10 + 3x2

Solving
15 + 2x2 = -10 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
15 + 2x2 + -3x2 = -10 + 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
15 + -1x2 = -10 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
15 + -1x2 = -10 + 0
15 + -1x2 = -10

Add '-15' to each side of the equation.
15 + -15 + -1x2 = -10 + -15

Combine like terms: 15 + -15 = 0
0 + -1x2 = -10 + -15
-1x2 = -10 + -15

Combine like terms: -10 + -15 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

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

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