(2x+3)(5x-4)=

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Solution for (2x+3)(5x-4)= equation:


Simplifying
(2x + 3)(5x + -4) = 0

Reorder the terms:
(3 + 2x)(5x + -4) = 0

Reorder the terms:
(3 + 2x)(-4 + 5x) = 0

Multiply (3 + 2x) * (-4 + 5x)
(3(-4 + 5x) + 2x * (-4 + 5x)) = 0
((-4 * 3 + 5x * 3) + 2x * (-4 + 5x)) = 0
((-12 + 15x) + 2x * (-4 + 5x)) = 0
(-12 + 15x + (-4 * 2x + 5x * 2x)) = 0
(-12 + 15x + (-8x + 10x2)) = 0

Combine like terms: 15x + -8x = 7x
(-12 + 7x + 10x2) = 0

Solving
-12 + 7x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x)(4 + -5x) = 0

Subproblem 1

Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

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

Solution

x = {-1.5, 0.8}

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