720=x*(x-6)

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Solution for 720=x*(x-6) equation:


Simplifying
720 = x(x + -6)

Reorder the terms:
720 = x(-6 + x)
720 = (-6 * x + x * x)
720 = (-6x + x2)

Solving
720 = -6x + x2

Solving for variable 'x'.

Reorder the terms:
720 + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
720 + 6x + -1x2 = 0 + x2 + -1x2
720 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
720 + 6x + -1x2 = 0

Factor a trinomial.
(30 + -1x)(24 + x) = 0

Subproblem 1

Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30

Subproblem 2

Set the factor '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24

Solution

x = {30, -24}

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