(-19x+13)(21+15x)=

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Solution for (-19x+13)(21+15x)= equation:


Simplifying
(-19x + 13)(21 + 15x) = 0

Reorder the terms:
(13 + -19x)(21 + 15x) = 0

Multiply (13 + -19x) * (21 + 15x)
(13(21 + 15x) + -19x * (21 + 15x)) = 0
((21 * 13 + 15x * 13) + -19x * (21 + 15x)) = 0
((273 + 195x) + -19x * (21 + 15x)) = 0
(273 + 195x + (21 * -19x + 15x * -19x)) = 0
(273 + 195x + (-399x + -285x2)) = 0

Combine like terms: 195x + -399x = -204x
(273 + -204x + -285x2) = 0

Solving
273 + -204x + -285x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(91 + -68x + -95x2) = 0

Factor a trinomial.
3((13 + -19x)(7 + 5x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(13 + -19x)' equal to zero and attempt to solve:

Simplifying
13 + -19x = 0

Solving
13 + -19x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -19x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -19x = 0 + -13
-19x = 0 + -13

Combine like terms: 0 + -13 = -13
-19x = -13

Divide each side by '-19'.
x = 0.6842105263

Simplifying
x = 0.6842105263

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {0.6842105263, -1.4}

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