=(16x+13)(-8x+15)

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Solution for =(16x+13)(-8x+15) equation: 


Simplifying
0 = (16x + 13)(-8x + 15)

Reorder the terms:
0 = (13 + 16x)(-8x + 15)

Reorder the terms:
0 = (13 + 16x)(15 + -8x)

Multiply (13 + 16x) * (15 + -8x)
0 = (13(15 + -8x) + 16x * (15 + -8x))
0 = ((15 * 13 + -8x * 13) + 16x * (15 + -8x))
0 = ((195 + -104x) + 16x * (15 + -8x))
0 = (195 + -104x + (15 * 16x + -8x * 16x))
0 = (195 + -104x + (240x + -128x2))

Combine like terms: -104x + 240x = 136x
0 = (195 + 136x + -128x2)

Solving
0 = 195 + 136x + -128x2

Solving for variable 'x'.

Combine like terms: 0 + -195 = -195
-195 + -136x + 128x2 = 195 + 136x + -128x2 + -195 + -136x + 128x2

Reorder the terms:
-195 + -136x + 128x2 = 195 + -195 + 136x + -136x + -128x2 + 128x2

Combine like terms: 195 + -195 = 0
-195 + -136x + 128x2 = 0 + 136x + -136x + -128x2 + 128x2
-195 + -136x + 128x2 = 136x + -136x + -128x2 + 128x2

Combine like terms: 136x + -136x = 0
-195 + -136x + 128x2 = 0 + -128x2 + 128x2
-195 + -136x + 128x2 = -128x2 + 128x2

Combine like terms: -128x2 + 128x2 = 0
-195 + -136x + 128x2 = 0

Factor a trinomial.
(-13 + -16x)(15 + -8x) = 0


Subproblem 1
Set the factor '(-13 + -16x)' equal to zero and attempt to solve:

Simplifying
-13 + -16x = 0

Solving
-13 + -16x = 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 + -16x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -16x = 0 + 13
-16x = 0 + 13

Combine like terms: 0 + 13 = 13
-16x = 13

Divide each side by '-16'.
x = -0.8125

Simplifying
x = -0.8125

Subproblem 2
Set the factor '(15 + -8x)' equal to zero and attempt to solve:

Simplifying
15 + -8x = 0

Solving
15 + -8x = 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 + -8x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = 0 + -15
-8x = 0 + -15

Combine like terms: 0 + -15 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875
Solution
x = {-0.8125, 1.875}

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