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

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


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

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

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

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

Combine like terms: 5x + -8x = -3x
(-20 + -3x + 2x2) = 0

Solving
-20 + -3x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

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

Solution

x = {-2.5, 4}

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