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Simplifying
5x2 + 15 = 3x2 + 65
Reorder the terms:
15 + 5x2 = 3x2 + 65
Reorder the terms:
15 + 5x2 = 65 + 3x2
Solving
15 + 5x2 = 65 + 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 + 5x2 + -3x2 = 65 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
15 + 2x2 = 65 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
15 + 2x2 = 65 + 0
15 + 2x2 = 65
Add '-15' to each side of the equation.
15 + -15 + 2x2 = 65 + -15
Combine like terms: 15 + -15 = 0
0 + 2x2 = 65 + -15
2x2 = 65 + -15
Combine like terms: 65 + -15 = 50
2x2 = 50
Divide each side by '2'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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