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Simplifying
(14x + 5)(1 + -1x) = x(9 + -1x)
Reorder the terms:
(5 + 14x)(1 + -1x) = x(9 + -1x)
Multiply (5 + 14x) * (1 + -1x)
(5(1 + -1x) + 14x * (1 + -1x)) = x(9 + -1x)
((1 * 5 + -1x * 5) + 14x * (1 + -1x)) = x(9 + -1x)
((5 + -5x) + 14x * (1 + -1x)) = x(9 + -1x)
(5 + -5x + (1 * 14x + -1x * 14x)) = x(9 + -1x)
(5 + -5x + (14x + -14x2)) = x(9 + -1x)
Combine like terms: -5x + 14x = 9x
(5 + 9x + -14x2) = x(9 + -1x)
5 + 9x + -14x2 = (9 * x + -1x * x)
5 + 9x + -14x2 = (9x + -1x2)
Add '-9x' to each side of the equation.
5 + 9x + -9x + -14x2 = 9x + -9x + -1x2
Combine like terms: 9x + -9x = 0
5 + 0 + -14x2 = 9x + -9x + -1x2
5 + -14x2 = 9x + -9x + -1x2
Combine like terms: 9x + -9x = 0
5 + -14x2 = 0 + -1x2
5 + -14x2 = -1x2
Solving
5 + -14x2 = -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
5 + -14x2 + x2 = -1x2 + x2
Combine like terms: -14x2 + x2 = -13x2
5 + -13x2 = -1x2 + x2
Combine like terms: -1x2 + x2 = 0
5 + -13x2 = 0
Add '-5' to each side of the equation.
5 + -5 + -13x2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -13x2 = 0 + -5
-13x2 = 0 + -5
Combine like terms: 0 + -5 = -5
-13x2 = -5
Divide each side by '-13'.
x2 = 0.3846153846
Simplifying
x2 = 0.3846153846
Take the square root of each side:
x = {-0.620173673, 0.620173673}
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