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

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


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

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

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

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

Combine like terms: 70x + -81x = -11x
(-90 + -11x + 63x2) = 0

Solving
-90 + -11x + 63x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-10 + -9x)' equal to zero and attempt to solve:

Simplifying
-10 + -9x = 0

Solving
-10 + -9x = 0

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

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

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

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

Divide each side by '-9'.
x = -1.111111111

Simplifying
x = -1.111111111

Subproblem 2
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
Solution
x = {-1.111111111, 1.285714286}

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