(5x-7)(-4x+3)=0

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Solution for (5x-7)(-4x+3)=0 equation:


Simplifying
(5x + -7)(-4x + 3) = 0

Reorder the terms:
(-7 + 5x)(-4x + 3) = 0

Reorder the terms:
(-7 + 5x)(3 + -4x) = 0

Multiply (-7 + 5x) * (3 + -4x)
(-7(3 + -4x) + 5x * (3 + -4x)) = 0
((3 * -7 + -4x * -7) + 5x * (3 + -4x)) = 0
((-21 + 28x) + 5x * (3 + -4x)) = 0
(-21 + 28x + (3 * 5x + -4x * 5x)) = 0
(-21 + 28x + (15x + -20x2)) = 0

Combine like terms: 28x + 15x = 43x
(-21 + 43x + -20x2) = 0

Solving
-21 + 43x + -20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 5x)(3 + -4x) = 0

Subproblem 1

Set the factor '(-7 + 5x)' equal to zero and attempt to solve: Simplifying -7 + 5x = 0 Solving -7 + 5x = 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 + 5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 0 + 7 5x = 0 + 7 Combine like terms: 0 + 7 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {1.4, 0.75}

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