(16x-4)(30x+15)=

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Solution for (16x-4)(30x+15)= equation: 


Simplifying
(16x + -4)(30x + 15) = 0

Reorder the terms:
(-4 + 16x)(30x + 15) = 0

Reorder the terms:
(-4 + 16x)(15 + 30x) = 0

Multiply (-4 + 16x) * (15 + 30x)
(-4(15 + 30x) + 16x * (15 + 30x)) = 0
((15 * -4 + 30x * -4) + 16x * (15 + 30x)) = 0
((-60 + -120x) + 16x * (15 + 30x)) = 0
(-60 + -120x + (15 * 16x + 30x * 16x)) = 0
(-60 + -120x + (240x + 480x2)) = 0

Combine like terms: -120x + 240x = 120x
(-60 + 120x + 480x2) = 0

Solving
-60 + 120x + 480x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '60'.
60(-1 + 2x + 8x2) = 0

Factor a trinomial.
60((-1 + -2x)(1 + -4x)) = 0

Ignore the factor 60.

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-0.5, 0.25}

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