(14x+9)(5x-15)=0

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Solution for (14x+9)(5x-15)=0 equation: 


Simplifying
(14x + 9)(5x + -15) = 0

Reorder the terms:
(9 + 14x)(5x + -15) = 0

Reorder the terms:
(9 + 14x)(-15 + 5x) = 0

Multiply (9 + 14x) * (-15 + 5x)
(9(-15 + 5x) + 14x * (-15 + 5x)) = 0
((-15 * 9 + 5x * 9) + 14x * (-15 + 5x)) = 0
((-135 + 45x) + 14x * (-15 + 5x)) = 0
(-135 + 45x + (-15 * 14x + 5x * 14x)) = 0
(-135 + 45x + (-210x + 70x2)) = 0

Combine like terms: 45x + -210x = -165x
(-135 + -165x + 70x2) = 0

Solving
-135 + -165x + 70x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-27 + -33x + 14x2) = 0

Factor a trinomial.
5((-9 + -14x)(3 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-9 + -14x)' equal to zero and attempt to solve:

Simplifying
-9 + -14x = 0

Solving
-9 + -14x = 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 + -14x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -14x = 0 + 9
-14x = 0 + 9

Combine like terms: 0 + 9 = 9
-14x = 9

Divide each side by '-14'.
x = -0.6428571429

Simplifying
x = -0.6428571429

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 = {-0.6428571429, 3}

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