(-7x+4)(2x-20)=0

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Solution for (-7x+4)(2x-20)=0 equation: 


Simplifying
(-7x + 4)(2x + -20) = 0

Reorder the terms:
(4 + -7x)(2x + -20) = 0

Reorder the terms:
(4 + -7x)(-20 + 2x) = 0

Multiply (4 + -7x) * (-20 + 2x)
(4(-20 + 2x) + -7x * (-20 + 2x)) = 0
((-20 * 4 + 2x * 4) + -7x * (-20 + 2x)) = 0
((-80 + 8x) + -7x * (-20 + 2x)) = 0
(-80 + 8x + (-20 * -7x + 2x * -7x)) = 0
(-80 + 8x + (140x + -14x2)) = 0

Combine like terms: 8x + 140x = 148x
(-80 + 148x + -14x2) = 0

Solving
-80 + 148x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + 74x + -7x2) = 0

Factor a trinomial.
2((-10 + x)(4 + -7x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

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

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

Simplifying
x = 10

Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {10, 0.5714285714}

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