=(8x-13)(20x+11)

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Solution for =(8x-13)(20x+11) equation:


Simplifying
0 = (8x + -13)(20x + 11)

Reorder the terms:
0 = (-13 + 8x)(20x + 11)

Reorder the terms:
0 = (-13 + 8x)(11 + 20x)

Multiply (-13 + 8x) * (11 + 20x)
0 = (-13(11 + 20x) + 8x * (11 + 20x))
0 = ((11 * -13 + 20x * -13) + 8x * (11 + 20x))
0 = ((-143 + -260x) + 8x * (11 + 20x))
0 = (-143 + -260x + (11 * 8x + 20x * 8x))
0 = (-143 + -260x + (88x + 160x2))

Combine like terms: -260x + 88x = -172x
0 = (-143 + -172x + 160x2)

Solving
0 = -143 + -172x + 160x2

Solving for variable 'x'.

Combine like terms: 0 + 143 = 143
143 + 172x + -160x2 = -143 + -172x + 160x2 + 143 + 172x + -160x2

Reorder the terms:
143 + 172x + -160x2 = -143 + 143 + -172x + 172x + 160x2 + -160x2

Combine like terms: -143 + 143 = 0
143 + 172x + -160x2 = 0 + -172x + 172x + 160x2 + -160x2
143 + 172x + -160x2 = -172x + 172x + 160x2 + -160x2

Combine like terms: -172x + 172x = 0
143 + 172x + -160x2 = 0 + 160x2 + -160x2
143 + 172x + -160x2 = 160x2 + -160x2

Combine like terms: 160x2 + -160x2 = 0
143 + 172x + -160x2 = 0

Factor a trinomial.
(13 + -8x)(11 + 20x) = 0

Subproblem 1

Set the factor '(13 + -8x)' equal to zero and attempt to solve: Simplifying 13 + -8x = 0 Solving 13 + -8x = 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 + -8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 0 + -13 -8x = 0 + -13 Combine like terms: 0 + -13 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625

Subproblem 2

Set the factor '(11 + 20x)' equal to zero and attempt to solve: Simplifying 11 + 20x = 0 Solving 11 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 20x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 20x = 0 + -11 20x = 0 + -11 Combine like terms: 0 + -11 = -11 20x = -11 Divide each side by '20'. x = -0.55 Simplifying x = -0.55

Solution

x = {1.625, -0.55}

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