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Simplifying
2x(x + 1) = x(x + 5) + 3(12 + -1x)
Reorder the terms:
2x(1 + x) = x(x + 5) + 3(12 + -1x)
(1 * 2x + x * 2x) = x(x + 5) + 3(12 + -1x)
(2x + 2x2) = x(x + 5) + 3(12 + -1x)
Reorder the terms:
2x + 2x2 = x(5 + x) + 3(12 + -1x)
2x + 2x2 = (5 * x + x * x) + 3(12 + -1x)
2x + 2x2 = (5x + x2) + 3(12 + -1x)
2x + 2x2 = 5x + x2 + (12 * 3 + -1x * 3)
2x + 2x2 = 5x + x2 + (36 + -3x)
Reorder the terms:
2x + 2x2 = 36 + 5x + -3x + x2
Combine like terms: 5x + -3x = 2x
2x + 2x2 = 36 + 2x + x2
Add '-2x' to each side of the equation.
2x + -2x + 2x2 = 36 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
0 + 2x2 = 36 + 2x + -2x + x2
2x2 = 36 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
2x2 = 36 + 0 + x2
2x2 = 36 + x2
Solving
2x2 = 36 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
2x2 + -1x2 = 36 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
1x2 = 36 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
1x2 = 36 + 0
1x2 = 36
Divide each side by '1'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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