4(9-7x)(10x+9)=0

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Solution for 4(9-7x)(10x+9)=0 equation: 


Simplifying
4(9 + -7x)(10x + 9) = 0

Reorder the terms:
4(9 + -7x)(9 + 10x) = 0

Multiply (9 + -7x) * (9 + 10x)
4(9(9 + 10x) + -7x * (9 + 10x)) = 0
4((9 * 9 + 10x * 9) + -7x * (9 + 10x)) = 0
4((81 + 90x) + -7x * (9 + 10x)) = 0
4(81 + 90x + (9 * -7x + 10x * -7x)) = 0
4(81 + 90x + (-63x + -70x2)) = 0

Combine like terms: 90x + -63x = 27x
4(81 + 27x + -70x2) = 0
(81 * 4 + 27x * 4 + -70x2 * 4) = 0
(324 + 108x + -280x2) = 0

Solving
324 + 108x + -280x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(81 + 27x + -70x2) = 0

Factor a trinomial.
4((9 + -7x)(9 + 10x)) = 0

Ignore the factor 4.

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

Simplifying
9 + -7x = 0

Solving
9 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -7x = 0 + -9

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

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

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

Subproblem 2
Set the factor '(9 + 10x)' equal to zero and attempt to solve:

Simplifying
9 + 10x = 0

Solving
9 + 10x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 10x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10x = 0 + -9
10x = 0 + -9

Combine like terms: 0 + -9 = -9
10x = -9

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9
Solution
x = {1.285714286, -0.9}

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