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

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


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

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

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

Multiply (-4 + 5x) * (-3 + 7x)
(-4(-3 + 7x) + 5x * (-3 + 7x)) = 0
((-3 * -4 + 7x * -4) + 5x * (-3 + 7x)) = 0
((12 + -28x) + 5x * (-3 + 7x)) = 0
(12 + -28x + (-3 * 5x + 7x * 5x)) = 0
(12 + -28x + (-15x + 35x2)) = 0

Combine like terms: -28x + -15x = -43x
(12 + -43x + 35x2) = 0

Solving
12 + -43x + 35x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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 = {0.4285714286, 0.8}

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