(3x+7)(8x-5)=

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Solution for (3x+7)(8x-5)= equation:


Simplifying
(3x + 7)(8x + -5) = 0

Reorder the terms:
(7 + 3x)(8x + -5) = 0

Reorder the terms:
(7 + 3x)(-5 + 8x) = 0

Multiply (7 + 3x) * (-5 + 8x)
(7(-5 + 8x) + 3x * (-5 + 8x)) = 0
((-5 * 7 + 8x * 7) + 3x * (-5 + 8x)) = 0
((-35 + 56x) + 3x * (-5 + 8x)) = 0
(-35 + 56x + (-5 * 3x + 8x * 3x)) = 0
(-35 + 56x + (-15x + 24x2)) = 0

Combine like terms: 56x + -15x = 41x
(-35 + 41x + 24x2) = 0

Solving
-35 + 41x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(5 + -8x) = 0

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625

Solution

x = {-2.333333333, 0.625}

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