(5x-35)(x-4)=0

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Solution for (5x-35)(x-4)=0 equation: 


Simplifying
(5x + -35)(x + -4) = 0

Reorder the terms:
(-35 + 5x)(x + -4) = 0

Reorder the terms:
(-35 + 5x)(-4 + x) = 0

Multiply (-35 + 5x) * (-4 + x)
(-35(-4 + x) + 5x * (-4 + x)) = 0
((-4 * -35 + x * -35) + 5x * (-4 + x)) = 0
((140 + -35x) + 5x * (-4 + x)) = 0
(140 + -35x + (-4 * 5x + x * 5x)) = 0
(140 + -35x + (-20x + 5x2)) = 0

Combine like terms: -35x + -20x = -55x
(140 + -55x + 5x2) = 0

Solving
140 + -55x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(28 + -11x + x2) = 0

Factor a trinomial.
5((4 + -1x)(7 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {4, 7}

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