(5x-2)(4x+9)=

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Solution for (5x-2)(4x+9)= equation:


Simplifying
(5x + -2)(4x + 9) = 0

Reorder the terms:
(-2 + 5x)(4x + 9) = 0

Reorder the terms:
(-2 + 5x)(9 + 4x) = 0

Multiply (-2 + 5x) * (9 + 4x)
(-2(9 + 4x) + 5x * (9 + 4x)) = 0
((9 * -2 + 4x * -2) + 5x * (9 + 4x)) = 0
((-18 + -8x) + 5x * (9 + 4x)) = 0
(-18 + -8x + (9 * 5x + 4x * 5x)) = 0
(-18 + -8x + (45x + 20x2)) = 0

Combine like terms: -8x + 45x = 37x
(-18 + 37x + 20x2) = 0

Solving
-18 + 37x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(2 + -5x) = 0

Subproblem 1

Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 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 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25

Subproblem 2

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-2.25, 0.4}

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