(-16x-60)(-4x-15)=0

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Solution for (-16x-60)(-4x-15)=0 equation: 


Simplifying
(-16x + -60)(-4x + -15) = 0

Reorder the terms:
(-60 + -16x)(-4x + -15) = 0

Reorder the terms:
(-60 + -16x)(-15 + -4x) = 0

Multiply (-60 + -16x) * (-15 + -4x)
(-60(-15 + -4x) + -16x * (-15 + -4x)) = 0
((-15 * -60 + -4x * -60) + -16x * (-15 + -4x)) = 0
((900 + 240x) + -16x * (-15 + -4x)) = 0
(900 + 240x + (-15 * -16x + -4x * -16x)) = 0
(900 + 240x + (240x + 64x2)) = 0

Combine like terms: 240x + 240x = 480x
(900 + 480x + 64x2) = 0

Solving
900 + 480x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(225 + 120x + 16x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

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 = {-3.75, -3.75}

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