(35x-35)(25x-40)=0

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Solution for (35x-35)(25x-40)=0 equation: 


Simplifying
(35x + -35)(25x + -40) = 0

Reorder the terms:
(-35 + 35x)(25x + -40) = 0

Reorder the terms:
(-35 + 35x)(-40 + 25x) = 0

Multiply (-35 + 35x) * (-40 + 25x)
(-35(-40 + 25x) + 35x * (-40 + 25x)) = 0
((-40 * -35 + 25x * -35) + 35x * (-40 + 25x)) = 0
((1400 + -875x) + 35x * (-40 + 25x)) = 0
(1400 + -875x + (-40 * 35x + 25x * 35x)) = 0
(1400 + -875x + (-1400x + 875x2)) = 0

Combine like terms: -875x + -1400x = -2275x
(1400 + -2275x + 875x2) = 0

Solving
1400 + -2275x + 875x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '175'.
175(8 + -13x + 5x2) = 0

Factor a trinomial.
175((1 + -1x)(8 + -5x)) = 0

Ignore the factor 175.

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {1, 1.6}

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