((-6)x+(-3))((-5)x+(9))=

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Solution for ((-6)x+(-3))((-5)x+(9))= equation:


Simplifying
((-6) * x + (-3))((-5) * x + (9)) = 0
(-6x + -3)((-5) * x + (9)) = 0

Reorder the terms:
(-3 + -6x)((-5) * x + (9)) = 0
(-3 + -6x)(-5x + 9) = 0

Reorder the terms:
(-3 + -6x)(9 + -5x) = 0

Multiply (-3 + -6x) * (9 + -5x)
(-3(9 + -5x) + -6x * (9 + -5x)) = 0
((9 * -3 + -5x * -3) + -6x * (9 + -5x)) = 0
((-27 + 15x) + -6x * (9 + -5x)) = 0
(-27 + 15x + (9 * -6x + -5x * -6x)) = 0
(-27 + 15x + (-54x + 30x2)) = 0

Combine like terms: 15x + -54x = -39x
(-27 + -39x + 30x2) = 0

Solving
-27 + -39x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + -13x + 10x2) = 0

Factor a trinomial.
3((-1 + -2x)(9 + -5x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8

Solution

x = {-0.5, 1.8}

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