0=(7x-8)(7x+9)

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Solution for 0=(7x-8)(7x+9) equation: 


Simplifying
0 = (7x + -8)(7x + 9)

Reorder the terms:
0 = (-8 + 7x)(7x + 9)

Reorder the terms:
0 = (-8 + 7x)(9 + 7x)

Multiply (-8 + 7x) * (9 + 7x)
0 = (-8(9 + 7x) + 7x * (9 + 7x))
0 = ((9 * -8 + 7x * -8) + 7x * (9 + 7x))
0 = ((-72 + -56x) + 7x * (9 + 7x))
0 = (-72 + -56x + (9 * 7x + 7x * 7x))
0 = (-72 + -56x + (63x + 49x2))

Combine like terms: -56x + 63x = 7x
0 = (-72 + 7x + 49x2)

Solving
0 = -72 + 7x + 49x2

Solving for variable 'x'.

Combine like terms: 0 + 72 = 72
72 + -7x + -49x2 = -72 + 7x + 49x2 + 72 + -7x + -49x2

Reorder the terms:
72 + -7x + -49x2 = -72 + 72 + 7x + -7x + 49x2 + -49x2

Combine like terms: -72 + 72 = 0
72 + -7x + -49x2 = 0 + 7x + -7x + 49x2 + -49x2
72 + -7x + -49x2 = 7x + -7x + 49x2 + -49x2

Combine like terms: 7x + -7x = 0
72 + -7x + -49x2 = 0 + 49x2 + -49x2
72 + -7x + -49x2 = 49x2 + -49x2

Combine like terms: 49x2 + -49x2 = 0
72 + -7x + -49x2 = 0

Factor a trinomial.
(8 + -7x)(9 + 7x) = 0


Subproblem 1
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

Subproblem 2
Set the factor '(9 + 7x)' equal to zero and attempt to solve:

Simplifying
9 + 7x = 0

Solving
9 + 7x = 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 + 7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 0 + -9
7x = 0 + -9

Combine like terms: 0 + -9 = -9
7x = -9

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286
Solution
x = {1.142857143, -1.285714286}

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