6x(5+x)=36

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Solution for 6x(5+x)=36 equation:


Simplifying
6x(5 + x) = 36
(5 * 6x + x * 6x) = 36
(30x + 6x2) = 36

Solving
30x + 6x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + 30x + 6x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 30x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-6 + 5x + x2) = 0

Factor a trinomial.
6((-6 + -1x)(1 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

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

Solution

x = {-6, 1}

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