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

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


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

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

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

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

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

Solving
28 + -39x + 5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {0.8, 7}

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