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

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


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

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

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

Multiply (-3 + 2x) * (4 + -3x)
(-3(4 + -3x) + 2x * (4 + -3x)) = 0
((4 * -3 + -3x * -3) + 2x * (4 + -3x)) = 0
((-12 + 9x) + 2x * (4 + -3x)) = 0
(-12 + 9x + (4 * 2x + -3x * 2x)) = 0
(-12 + 9x + (8x + -6x2)) = 0

Combine like terms: 9x + 8x = 17x
(-12 + 17x + -6x2) = 0

Solving
-12 + 17x + -6x2 = 0

Solving for variable 'x'.

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

Solution

x = {1.5, 1.333333333}

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