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

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


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

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

Multiply (7 + -3x) * (-3 + 5x)
(7(-3 + 5x) + -3x * (-3 + 5x)) = 0
((-3 * 7 + 5x * 7) + -3x * (-3 + 5x)) = 0
((-21 + 35x) + -3x * (-3 + 5x)) = 0
(-21 + 35x + (-3 * -3x + 5x * -3x)) = 0
(-21 + 35x + (9x + -15x2)) = 0

Combine like terms: 35x + 9x = 44x
(-21 + 44x + -15x2) = 0

Solving
-21 + 44x + -15x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-7 + 3x)' equal to zero and attempt to solve: Simplifying -7 + 3x = 0 Solving -7 + 3x = 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 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333

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 = {2.333333333, 0.6}

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