14=x(x-5)

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Solution for 14=x(x-5) equation:


Simplifying
14 = x(x + -5)

Reorder the terms:
14 = x(-5 + x)
14 = (-5 * x + x * x)
14 = (-5x + x2)

Solving
14 = -5x + x2

Solving for variable 'x'.

Reorder the terms:
14 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
14 + 5x + -1x2 = 0 + x2 + -1x2
14 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + 5x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(2 + x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {7, -2}

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