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

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Solution for (7-x)(5x-4)=0 equation: 


Simplifying
(7 + -1x)(5x + -4) = 0

Reorder the terms:
(7 + -1x)(-4 + 5x) = 0

Multiply (7 + -1x) * (-4 + 5x)
(7(-4 + 5x) + -1x * (-4 + 5x)) = 0
((-4 * 7 + 5x * 7) + -1x * (-4 + 5x)) = 0
((-28 + 35x) + -1x * (-4 + 5x)) = 0
(-28 + 35x + (-4 * -1x + 5x * -1x)) = 0
(-28 + 35x + (4x + -5x2)) = 0

Combine like terms: 35x + 4x = 39x
(-28 + 39x + -5x2) = 0

Solving
-28 + 39x + -5x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-7 + x = 0

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

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

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

Simplifying
x = 7

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {7, 0.8}

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