(-2x+1)(-5x+7)=0

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Solution for (-2x+1)(-5x+7)=0 equation: 


Simplifying
(-2x + 1)(-5x + 7) = 0

Reorder the terms:
(1 + -2x)(-5x + 7) = 0

Reorder the terms:
(1 + -2x)(7 + -5x) = 0

Multiply (1 + -2x) * (7 + -5x)
(1(7 + -5x) + -2x * (7 + -5x)) = 0
((7 * 1 + -5x * 1) + -2x * (7 + -5x)) = 0
((7 + -5x) + -2x * (7 + -5x)) = 0
(7 + -5x + (7 * -2x + -5x * -2x)) = 0
(7 + -5x + (-14x + 10x2)) = 0

Combine like terms: -5x + -14x = -19x
(7 + -19x + 10x2) = 0

Solving
7 + -19x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -2x)(7 + -5x) = 0


Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
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
Solution
x = {0.5, 1.4}

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