(3x+20)(5x-16)=

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Solution for (3x+20)(5x-16)= equation:


Simplifying
(3x + 20)(5x + -16) = 0

Reorder the terms:
(20 + 3x)(5x + -16) = 0

Reorder the terms:
(20 + 3x)(-16 + 5x) = 0

Multiply (20 + 3x) * (-16 + 5x)
(20(-16 + 5x) + 3x * (-16 + 5x)) = 0
((-16 * 20 + 5x * 20) + 3x * (-16 + 5x)) = 0
((-320 + 100x) + 3x * (-16 + 5x)) = 0
(-320 + 100x + (-16 * 3x + 5x * 3x)) = 0
(-320 + 100x + (-48x + 15x2)) = 0

Combine like terms: 100x + -48x = 52x
(-320 + 52x + 15x2) = 0

Solving
-320 + 52x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-20 + -3x)(16 + -5x) = 0


Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve:

Simplifying
-20 + -3x = 0

Solving
-20 + -3x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -3x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = 0 + 20
-3x = 0 + 20

Combine like terms: 0 + 20 = 20
-3x = 20

Divide each side by '-3'.
x = -6.666666667

Simplifying
x = -6.666666667

Subproblem 2
Set the factor '(16 + -5x)' equal to zero and attempt to solve:

Simplifying
16 + -5x = 0

Solving
16 + -5x = 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 + -5x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 0 + -16
-5x = 0 + -16

Combine like terms: 0 + -16 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2
Solution
x = {-6.666666667, 3.2}

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