(10x+7)(3x-9)=0

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Solution for (10x+7)(3x-9)=0 equation: 


Simplifying
(10x + 7)(3x + -9) = 0

Reorder the terms:
(7 + 10x)(3x + -9) = 0

Reorder the terms:
(7 + 10x)(-9 + 3x) = 0

Multiply (7 + 10x) * (-9 + 3x)
(7(-9 + 3x) + 10x * (-9 + 3x)) = 0
((-9 * 7 + 3x * 7) + 10x * (-9 + 3x)) = 0
((-63 + 21x) + 10x * (-9 + 3x)) = 0
(-63 + 21x + (-9 * 10x + 3x * 10x)) = 0
(-63 + 21x + (-90x + 30x2)) = 0

Combine like terms: 21x + -90x = -69x
(-63 + -69x + 30x2) = 0

Solving
-63 + -69x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -23x + 10x2) = 0

Factor a trinomial.
3((-7 + -10x)(3 + -1x)) = 0

Ignore the factor 3.

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

Simplifying
-7 + -10x = 0

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

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

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

Divide each side by '-10'.
x = -0.7

Simplifying
x = -0.7

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.7, 3}

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