(15x+5)(-19+21x)=

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Solution for (15x+5)(-19+21x)= equation:


Simplifying
(15x + 5)(-19 + 21x) = 0

Reorder the terms:
(5 + 15x)(-19 + 21x) = 0

Multiply (5 + 15x) * (-19 + 21x)
(5(-19 + 21x) + 15x * (-19 + 21x)) = 0
((-19 * 5 + 21x * 5) + 15x * (-19 + 21x)) = 0
((-95 + 105x) + 15x * (-19 + 21x)) = 0
(-95 + 105x + (-19 * 15x + 21x * 15x)) = 0
(-95 + 105x + (-285x + 315x2)) = 0

Combine like terms: 105x + -285x = -180x
(-95 + -180x + 315x2) = 0

Solving
-95 + -180x + 315x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-19 + -36x + 63x2) = 0

Factor a trinomial.
5((-1 + -3x)(19 + -21x)) = 0

Ignore the factor 5.

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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(19 + -21x)' equal to zero and attempt to solve:

Simplifying
19 + -21x = 0

Solving
19 + -21x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -21x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -21x = 0 + -19
-21x = 0 + -19

Combine like terms: 0 + -19 = -19
-21x = -19

Divide each side by '-21'.
x = 0.9047619048

Simplifying
x = 0.9047619048
Solution
x = {-0.3333333333, 0.9047619048}

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