(7x+8)(4x-5)=0

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Solution for (7x+8)(4x-5)=0 equation:


Simplifying
(7x + 8)(4x + -5) = 0

Reorder the terms:
(8 + 7x)(4x + -5) = 0

Reorder the terms:
(8 + 7x)(-5 + 4x) = 0

Multiply (8 + 7x) * (-5 + 4x)
(8(-5 + 4x) + 7x * (-5 + 4x)) = 0
((-5 * 8 + 4x * 8) + 7x * (-5 + 4x)) = 0
((-40 + 32x) + 7x * (-5 + 4x)) = 0
(-40 + 32x + (-5 * 7x + 4x * 7x)) = 0
(-40 + 32x + (-35x + 28x2)) = 0

Combine like terms: 32x + -35x = -3x
(-40 + -3x + 28x2) = 0

Solving
-40 + -3x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -7x)(5 + -4x) = 0

Subproblem 1

Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143

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 = {-1.142857143, 1.25}

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