(2x-9)(x+4)=

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Solution for (2x-9)(x+4)= equation:


Simplifying
(2x + -9)(x + 4) = 0

Reorder the terms:
(-9 + 2x)(x + 4) = 0

Reorder the terms:
(-9 + 2x)(4 + x) = 0

Multiply (-9 + 2x) * (4 + x)
(-9(4 + x) + 2x * (4 + x)) = 0
((4 * -9 + x * -9) + 2x * (4 + x)) = 0
((-36 + -9x) + 2x * (4 + x)) = 0
(-36 + -9x + (4 * 2x + x * 2x)) = 0
(-36 + -9x + (8x + 2x2)) = 0

Combine like terms: -9x + 8x = -1x
(-36 + -1x + 2x2) = 0

Solving
-36 + -1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(9 + -2x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5

Solution

x = {-4, 4.5}

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