(2x-19)(5x+4)=0

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Solution for (2x-19)(5x+4)=0 equation:


Simplifying
(2x + -19)(5x + 4) = 0

Reorder the terms:
(-19 + 2x)(5x + 4) = 0

Reorder the terms:
(-19 + 2x)(4 + 5x) = 0

Multiply (-19 + 2x) * (4 + 5x)
(-19(4 + 5x) + 2x * (4 + 5x)) = 0
((4 * -19 + 5x * -19) + 2x * (4 + 5x)) = 0
((-76 + -95x) + 2x * (4 + 5x)) = 0
(-76 + -95x + (4 * 2x + 5x * 2x)) = 0
(-76 + -95x + (8x + 10x2)) = 0

Combine like terms: -95x + 8x = -87x
(-76 + -87x + 10x2) = 0

Solving
-76 + -87x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(19 + -2x) = 0

Subproblem 1

Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 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 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8

Subproblem 2

Set the factor '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5

Solution

x = {-0.8, 9.5}

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