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

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


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

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

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

Multiply (-4 + 3x) * (5 + -4x)
(-4(5 + -4x) + 3x * (5 + -4x)) = 0
((5 * -4 + -4x * -4) + 3x * (5 + -4x)) = 0
((-20 + 16x) + 3x * (5 + -4x)) = 0
(-20 + 16x + (5 * 3x + -4x * 3x)) = 0
(-20 + 16x + (15x + -12x2)) = 0

Combine like terms: 16x + 15x = 31x
(-20 + 31x + -12x2) = 0

Solving
-20 + 31x + -12x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 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 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333

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 = {1.333333333, 1.25}

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