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Simplifying
x + (x + -6)(x + 5) = 44
Reorder the terms:
x + (-6 + x)(x + 5) = 44
Reorder the terms:
x + (-6 + x)(5 + x) = 44
Multiply (-6 + x) * (5 + x)
x + (-6(5 + x) + x(5 + x)) = 44
x + ((5 * -6 + x * -6) + x(5 + x)) = 44
x + ((-30 + -6x) + x(5 + x)) = 44
x + (-30 + -6x + (5 * x + x * x)) = 44
x + (-30 + -6x + (5x + x2)) = 44
Combine like terms: -6x + 5x = -1x
x + (-30 + -1x + x2) = 44
Reorder the terms:
-30 + x + -1x + x2 = 44
Combine like terms: x + -1x = 0
-30 + 0 + x2 = 44
-30 + x2 = 44
Solving
-30 + x2 = 44
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + x2 = 44 + 30
Combine like terms: -30 + 30 = 0
0 + x2 = 44 + 30
x2 = 44 + 30
Combine like terms: 44 + 30 = 74
x2 = 74
Simplifying
x2 = 74
Take the square root of each side:
x = {-8.602325267, 8.602325267}
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