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

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


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

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

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

Multiply (5 + 4x) * (7 + 4x)
(5(7 + 4x) + 4x * (7 + 4x)) = 0
((7 * 5 + 4x * 5) + 4x * (7 + 4x)) = 0
((35 + 20x) + 4x * (7 + 4x)) = 0
(35 + 20x + (7 * 4x + 4x * 4x)) = 0
(35 + 20x + (28x + 16x2)) = 0

Combine like terms: 20x + 28x = 48x
(35 + 48x + 16x2) = 0

Solving
35 + 48x + 16x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75

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 = {-1.75, -1.25}

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