(x+9)(-2x-7)=

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Solution for (x+9)(-2x-7)= equation: 


Simplifying
(x + 9)(-2x + -7) = 0

Reorder the terms:
(9 + x)(-2x + -7) = 0

Reorder the terms:
(9 + x)(-7 + -2x) = 0

Multiply (9 + x) * (-7 + -2x)
(9(-7 + -2x) + x(-7 + -2x)) = 0
((-7 * 9 + -2x * 9) + x(-7 + -2x)) = 0
((-63 + -18x) + x(-7 + -2x)) = 0
(-63 + -18x + (-7 * x + -2x * x)) = 0
(-63 + -18x + (-7x + -2x2)) = 0

Combine like terms: -18x + -7x = -25x
(-63 + -25x + -2x2) = 0

Solving
-63 + -25x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(63 + 25x + 2x2) = 0

Factor a trinomial.
-1((9 + x)(7 + 2x)) = 0

Ignore the factor -1.

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

Simplifying
9 + x = 0

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

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

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

Simplifying
x = -9

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

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {-9, -3.5}

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