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

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


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

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

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

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

Combine like terms: 12x + -5x = 7x
(-15 + 7x + 4x2) = 0

Solving
-15 + 7x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(5 + -4x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Solution

x = {-3, 1.25}

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