(x+36)(5x-6)=

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


Simplifying
(x + 36)(5x + -6) = 0

Reorder the terms:
(36 + x)(5x + -6) = 0

Reorder the terms:
(36 + x)(-6 + 5x) = 0

Multiply (36 + x) * (-6 + 5x)
(36(-6 + 5x) + x(-6 + 5x)) = 0
((-6 * 36 + 5x * 36) + x(-6 + 5x)) = 0
((-216 + 180x) + x(-6 + 5x)) = 0
(-216 + 180x + (-6 * x + 5x * x)) = 0
(-216 + 180x + (-6x + 5x2)) = 0

Combine like terms: 180x + -6x = 174x
(-216 + 174x + 5x2) = 0

Solving
-216 + 174x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-36 + -1x)(6 + -5x) = 0

Subproblem 1

Set the factor '(-36 + -1x)' equal to zero and attempt to solve: Simplifying -36 + -1x = 0 Solving -36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = 0 + 36 -1x = 0 + 36 Combine like terms: 0 + 36 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 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 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

Solution

x = {-36, 1.2}

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