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Simplifying
x2 + 15 = 3x2 + -35
Reorder the terms:
15 + x2 = 3x2 + -35
Reorder the terms:
15 + x2 = -35 + 3x2
Solving
15 + x2 = -35 + 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 + x2 + -3x2 = -35 + 3x2 + -3x2
Combine like terms: x2 + -3x2 = -2x2
15 + -2x2 = -35 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
15 + -2x2 = -35 + 0
15 + -2x2 = -35
Add '-15' to each side of the equation.
15 + -15 + -2x2 = -35 + -15
Combine like terms: 15 + -15 = 0
0 + -2x2 = -35 + -15
-2x2 = -35 + -15
Combine like terms: -35 + -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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