=(6x+7)(20x-9)

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Solution for =(6x+7)(20x-9) equation: 


Simplifying
0 = (6x + 7)(20x + -9)

Reorder the terms:
0 = (7 + 6x)(20x + -9)

Reorder the terms:
0 = (7 + 6x)(-9 + 20x)

Multiply (7 + 6x) * (-9 + 20x)
0 = (7(-9 + 20x) + 6x * (-9 + 20x))
0 = ((-9 * 7 + 20x * 7) + 6x * (-9 + 20x))
0 = ((-63 + 140x) + 6x * (-9 + 20x))
0 = (-63 + 140x + (-9 * 6x + 20x * 6x))
0 = (-63 + 140x + (-54x + 120x2))

Combine like terms: 140x + -54x = 86x
0 = (-63 + 86x + 120x2)

Solving
0 = -63 + 86x + 120x2

Solving for variable 'x'.

Combine like terms: 0 + 63 = 63
63 + -86x + -120x2 = -63 + 86x + 120x2 + 63 + -86x + -120x2

Reorder the terms:
63 + -86x + -120x2 = -63 + 63 + 86x + -86x + 120x2 + -120x2

Combine like terms: -63 + 63 = 0
63 + -86x + -120x2 = 0 + 86x + -86x + 120x2 + -120x2
63 + -86x + -120x2 = 86x + -86x + 120x2 + -120x2

Combine like terms: 86x + -86x = 0
63 + -86x + -120x2 = 0 + 120x2 + -120x2
63 + -86x + -120x2 = 120x2 + -120x2

Combine like terms: 120x2 + -120x2 = 0
63 + -86x + -120x2 = 0

Factor a trinomial.
(9 + -20x)(7 + 6x) = 0


Subproblem 1
Set the factor '(9 + -20x)' equal to zero and attempt to solve:

Simplifying
9 + -20x = 0

Solving
9 + -20x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -20x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -20x = 0 + -9
-20x = 0 + -9

Combine like terms: 0 + -9 = -9
-20x = -9

Divide each side by '-20'.
x = 0.45

Simplifying
x = 0.45

Subproblem 2
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 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 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667
Solution
x = {0.45, -1.166666667}

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