2x^2+45=5x^2+15

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Solution for 2x^2+45=5x^2+15 equation: 


Simplifying
2x2 + 45 = 5x2 + 15

Reorder the terms:
45 + 2x2 = 5x2 + 15

Reorder the terms:
45 + 2x2 = 15 + 5x2

Solving
45 + 2x2 = 15 + 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.
45 + 2x2 + -5x2 = 15 + 5x2 + -5x2

Combine like terms: 2x2 + -5x2 = -3x2
45 + -3x2 = 15 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
45 + -3x2 = 15 + 0
45 + -3x2 = 15

Add '-45' to each side of the equation.
45 + -45 + -3x2 = 15 + -45

Combine like terms: 45 + -45 = 0
0 + -3x2 = 15 + -45
-3x2 = 15 + -45

Combine like terms: 15 + -45 = -30
-3x2 = -30

Divide each side by '-3'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}

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