x(15-x)=56

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Solution for x(15-x)=56 equation:


Simplifying
x(15 + -1x) = 56
(15 * x + -1x * x) = 56
(15x + -1x2) = 56

Solving
15x + -1x2 = 56

Solving for variable 'x'.

Reorder the terms:
-56 + 15x + -1x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 15x + -1x2 = 0

Factor a trinomial.
(-8 + x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {8, 7}

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