(9x+6)(-14-7x)=

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Solution for (9x+6)(-14-7x)= equation:


Simplifying
(9x + 6)(-14 + -7x) = 0

Reorder the terms:
(6 + 9x)(-14 + -7x) = 0

Multiply (6 + 9x) * (-14 + -7x)
(6(-14 + -7x) + 9x * (-14 + -7x)) = 0
((-14 * 6 + -7x * 6) + 9x * (-14 + -7x)) = 0
((-84 + -42x) + 9x * (-14 + -7x)) = 0
(-84 + -42x + (-14 * 9x + -7x * 9x)) = 0
(-84 + -42x + (-126x + -63x2)) = 0

Combine like terms: -42x + -126x = -168x
(-84 + -168x + -63x2) = 0

Solving
-84 + -168x + -63x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-21'.
-21(4 + 8x + 3x2) = 0

Factor a trinomial.
-21((2 + x)(2 + 3x)) = 0

Ignore the factor -21.

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2

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 = {-2, -0.6666666667}

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