x(x+6)-40=0

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Solution for x(x+6)-40=0 equation:


Simplifying
x(x + 6) + -40 = 0

Reorder the terms:
x(6 + x) + -40 = 0
(6 * x + x * x) + -40 = 0
(6x + x2) + -40 = 0

Reorder the terms:
-40 + 6x + x2 = 0

Solving
-40 + 6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-10, 4}

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