(-40x+20)(-10x+7)=0

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Solution for (-40x+20)(-10x+7)=0 equation: 


Simplifying
(-40x + 20)(-10x + 7) = 0

Reorder the terms:
(20 + -40x)(-10x + 7) = 0

Reorder the terms:
(20 + -40x)(7 + -10x) = 0

Multiply (20 + -40x) * (7 + -10x)
(20(7 + -10x) + -40x * (7 + -10x)) = 0
((7 * 20 + -10x * 20) + -40x * (7 + -10x)) = 0
((140 + -200x) + -40x * (7 + -10x)) = 0
(140 + -200x + (7 * -40x + -10x * -40x)) = 0
(140 + -200x + (-280x + 400x2)) = 0

Combine like terms: -200x + -280x = -480x
(140 + -480x + 400x2) = 0

Solving
140 + -480x + 400x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(7 + -24x + 20x2) = 0

Factor a trinomial.
20((1 + -2x)(7 + -10x)) = 0

Ignore the factor 20.

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 + -10x)' equal to zero and attempt to solve:

Simplifying
7 + -10x = 0

Solving
7 + -10x = 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 + -10x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = 0 + -7
-10x = 0 + -7

Combine like terms: 0 + -7 = -7
-10x = -7

Divide each side by '-10'.
x = 0.7

Simplifying
x = 0.7
Solution
x = {0.5, 0.7}

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