4(7-9x)(8x+1)=0

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Solution for 4(7-9x)(8x+1)=0 equation: 


Simplifying
4(7 + -9x)(8x + 1) = 0

Reorder the terms:
4(7 + -9x)(1 + 8x) = 0

Multiply (7 + -9x) * (1 + 8x)
4(7(1 + 8x) + -9x * (1 + 8x)) = 0
4((1 * 7 + 8x * 7) + -9x * (1 + 8x)) = 0
4((7 + 56x) + -9x * (1 + 8x)) = 0
4(7 + 56x + (1 * -9x + 8x * -9x)) = 0
4(7 + 56x + (-9x + -72x2)) = 0

Combine like terms: 56x + -9x = 47x
4(7 + 47x + -72x2) = 0
(7 * 4 + 47x * 4 + -72x2 * 4) = 0
(28 + 188x + -288x2) = 0

Solving
28 + 188x + -288x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 47x + -72x2) = 0

Factor a trinomial.
4((7 + -9x)(1 + 8x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(7 + -9x)' equal to zero and attempt to solve:

Simplifying
7 + -9x = 0

Solving
7 + -9x = 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 + -9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 0 + -7
-9x = 0 + -7

Combine like terms: 0 + -7 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {0.7777777778, -0.125}

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