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Simplifying
x(x + 5) + -10 = 5x + 39
Reorder the terms:
x(5 + x) + -10 = 5x + 39
(5 * x + x * x) + -10 = 5x + 39
(5x + x2) + -10 = 5x + 39
Reorder the terms:
-10 + 5x + x2 = 5x + 39
Reorder the terms:
-10 + 5x + x2 = 39 + 5x
Add '-5x' to each side of the equation.
-10 + 5x + -5x + x2 = 39 + 5x + -5x
Combine like terms: 5x + -5x = 0
-10 + 0 + x2 = 39 + 5x + -5x
-10 + x2 = 39 + 5x + -5x
Combine like terms: 5x + -5x = 0
-10 + x2 = 39 + 0
-10 + x2 = 39
Solving
-10 + x2 = 39
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + x2 = 39 + 10
Combine like terms: -10 + 10 = 0
0 + x2 = 39 + 10
x2 = 39 + 10
Combine like terms: 39 + 10 = 49
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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