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

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


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

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

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

Multiply (4 + 5x) * (-7 + 5x)
(4(-7 + 5x) + 5x * (-7 + 5x)) = 0
((-7 * 4 + 5x * 4) + 5x * (-7 + 5x)) = 0
((-28 + 20x) + 5x * (-7 + 5x)) = 0
(-28 + 20x + (-7 * 5x + 5x * 5x)) = 0
(-28 + 20x + (-35x + 25x2)) = 0

Combine like terms: 20x + -35x = -15x
(-28 + -15x + 25x2) = 0

Solving
-28 + -15x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(7 + -5x) = 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 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {-0.8, 1.4}

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