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

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


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

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

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

Multiply (4 + 3x) * (5 + -2x)
(4(5 + -2x) + 3x * (5 + -2x)) = 0
((5 * 4 + -2x * 4) + 3x * (5 + -2x)) = 0
((20 + -8x) + 3x * (5 + -2x)) = 0
(20 + -8x + (5 * 3x + -2x * 3x)) = 0
(20 + -8x + (15x + -6x2)) = 0

Combine like terms: -8x + 15x = 7x
(20 + 7x + -6x2) = 0

Solving
20 + 7x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -2x)(4 + 3x) = 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 + 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 = {2.5, -1.333333333}

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