(3x+7)*(-8x-7)=

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Solution for (3x+7)*(-8x-7)= equation:


Simplifying
(3x + 7)(-8x + -7) = 0

Reorder the terms:
(7 + 3x)(-8x + -7) = 0

Reorder the terms:
(7 + 3x)(-7 + -8x) = 0

Multiply (7 + 3x) * (-7 + -8x)
(7(-7 + -8x) + 3x * (-7 + -8x)) = 0
((-7 * 7 + -8x * 7) + 3x * (-7 + -8x)) = 0
((-49 + -56x) + 3x * (-7 + -8x)) = 0
(-49 + -56x + (-7 * 3x + -8x * 3x)) = 0
(-49 + -56x + (-21x + -24x2)) = 0

Combine like terms: -56x + -21x = -77x
(-49 + -77x + -24x2) = 0

Solving
-49 + -77x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(49 + 77x + 24x2) = 0

Factor a trinomial.
-1((7 + 3x)(7 + 8x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 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 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {-2.333333333, -0.875}

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