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

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


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

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

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

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

Combine like terms: -28x + 20x = -8x
(-16 + -8x + 35x2) = 0

Solving
-16 + -8x + 35x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 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 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714

Subproblem 2

Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Solution

x = {-0.5714285714, 0.8}

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