(-9x+6)(-7x-10)=0

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Solution for (-9x+6)(-7x-10)=0 equation: 


Simplifying
(-9x + 6)(-7x + -10) = 0

Reorder the terms:
(6 + -9x)(-7x + -10) = 0

Reorder the terms:
(6 + -9x)(-10 + -7x) = 0

Multiply (6 + -9x) * (-10 + -7x)
(6(-10 + -7x) + -9x * (-10 + -7x)) = 0
((-10 * 6 + -7x * 6) + -9x * (-10 + -7x)) = 0
((-60 + -42x) + -9x * (-10 + -7x)) = 0
(-60 + -42x + (-10 * -9x + -7x * -9x)) = 0
(-60 + -42x + (90x + 63x2)) = 0

Combine like terms: -42x + 90x = 48x
(-60 + 48x + 63x2) = 0

Solving
-60 + 48x + 63x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + 16x + 21x2) = 0

Factor a trinomial.
3((-10 + -7x)(2 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + -7x)' equal to zero and attempt to solve:

Simplifying
-10 + -7x = 0

Solving
-10 + -7x = 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 + -7x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = 0 + 10
-7x = 0 + 10

Combine like terms: 0 + 10 = 10
-7x = 10

Divide each side by '-7'.
x = -1.428571429

Simplifying
x = -1.428571429

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-1.428571429, 0.6666666667}

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