-4x(x+16)-15(x+16)=0

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Solution for -4x(x+16)-15(x+16)=0 equation: 


Simplifying
-4x(x + 16) + -15(x + 16) = 0

Reorder the terms:
-4x(16 + x) + -15(x + 16) = 0
(16 * -4x + x * -4x) + -15(x + 16) = 0
(-64x + -4x2) + -15(x + 16) = 0

Reorder the terms:
-64x + -4x2 + -15(16 + x) = 0
-64x + -4x2 + (16 * -15 + x * -15) = 0
-64x + -4x2 + (-240 + -15x) = 0

Reorder the terms:
-240 + -64x + -15x + -4x2 = 0

Combine like terms: -64x + -15x = -79x
-240 + -79x + -4x2 = 0

Solving
-240 + -79x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(240 + 79x + 4x2) = 0

Factor a trinomial.
-1((16 + x)(15 + 4x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(15 + 4x)' equal to zero and attempt to solve:

Simplifying
15 + 4x = 0

Solving
15 + 4x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 0 + -15
4x = 0 + -15

Combine like terms: 0 + -15 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75
Solution
x = {-16, -3.75}

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