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

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


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

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

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

Multiply (-3 + 5x) * (-4 + 7x)
(-3(-4 + 7x) + 5x * (-4 + 7x)) = 0
((-4 * -3 + 7x * -3) + 5x * (-4 + 7x)) = 0
((12 + -21x) + 5x * (-4 + 7x)) = 0
(12 + -21x + (-4 * 5x + 7x * 5x)) = 0
(12 + -21x + (-20x + 35x2)) = 0

Combine like terms: -21x + -20x = -41x
(12 + -41x + 35x2) = 0

Solving
12 + -41x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -7x)(3 + -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 '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {0.5714285714, 0.6}

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