9(5x-7)(1-4x)=0

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Solution for 9(5x-7)(1-4x)=0 equation: 


Simplifying
9(5x + -7)(1 + -4x) = 0

Reorder the terms:
9(-7 + 5x)(1 + -4x) = 0

Multiply (-7 + 5x) * (1 + -4x)
9(-7(1 + -4x) + 5x * (1 + -4x)) = 0
9((1 * -7 + -4x * -7) + 5x * (1 + -4x)) = 0
9((-7 + 28x) + 5x * (1 + -4x)) = 0
9(-7 + 28x + (1 * 5x + -4x * 5x)) = 0
9(-7 + 28x + (5x + -20x2)) = 0

Combine like terms: 28x + 5x = 33x
9(-7 + 33x + -20x2) = 0
(-7 * 9 + 33x * 9 + -20x2 * 9) = 0
(-63 + 297x + -180x2) = 0

Solving
-63 + 297x + -180x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-7 + 33x + -20x2) = 0

Factor a trinomial.
9((-7 + 5x)(1 + -4x)) = 0

Ignore the factor 9.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

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

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {1.4, 0.25}

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