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Simplifying
x2 + 3x + -15 = 3x + 10
Reorder the terms:
-15 + 3x + x2 = 3x + 10
Reorder the terms:
-15 + 3x + x2 = 10 + 3x
Add '-3x' to each side of the equation.
-15 + 3x + -3x + x2 = 10 + 3x + -3x
Combine like terms: 3x + -3x = 0
-15 + 0 + x2 = 10 + 3x + -3x
-15 + x2 = 10 + 3x + -3x
Combine like terms: 3x + -3x = 0
-15 + x2 = 10 + 0
-15 + x2 = 10
Solving
-15 + x2 = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + x2 = 10 + 15
Combine like terms: -15 + 15 = 0
0 + x2 = 10 + 15
x2 = 10 + 15
Combine like terms: 10 + 15 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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