(5x-2)(7-5x+2x)=0

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Solution for (5x-2)(7-5x+2x)=0 equation: 


Simplifying
(5x + -2)(7 + -5x + 2x) = 0

Reorder the terms:
(-2 + 5x)(7 + -5x + 2x) = 0

Combine like terms: -5x + 2x = -3x
(-2 + 5x)(7 + -3x) = 0

Multiply (-2 + 5x) * (7 + -3x)
(-2(7 + -3x) + 5x * (7 + -3x)) = 0
((7 * -2 + -3x * -2) + 5x * (7 + -3x)) = 0
((-14 + 6x) + 5x * (7 + -3x)) = 0
(-14 + 6x + (7 * 5x + -3x * 5x)) = 0
(-14 + 6x + (35x + -15x2)) = 0

Combine like terms: 6x + 35x = 41x
(-14 + 41x + -15x2) = 0

Solving
-14 + 41x + -15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 3x)(2 + -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 '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {2.333333333, 0.4}

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