0=(7x-8)(7x+2)

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Solution for 0=(7x-8)(7x+2) equation:


Simplifying
0 = (7x + -8)(7x + 2)

Reorder the terms:
0 = (-8 + 7x)(7x + 2)

Reorder the terms:
0 = (-8 + 7x)(2 + 7x)

Multiply (-8 + 7x) * (2 + 7x)
0 = (-8(2 + 7x) + 7x * (2 + 7x))
0 = ((2 * -8 + 7x * -8) + 7x * (2 + 7x))
0 = ((-16 + -56x) + 7x * (2 + 7x))
0 = (-16 + -56x + (2 * 7x + 7x * 7x))
0 = (-16 + -56x + (14x + 49x2))

Combine like terms: -56x + 14x = -42x
0 = (-16 + -42x + 49x2)

Solving
0 = -16 + -42x + 49x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 42x + -49x2 = -16 + -42x + 49x2 + 16 + 42x + -49x2

Reorder the terms:
16 + 42x + -49x2 = -16 + 16 + -42x + 42x + 49x2 + -49x2

Combine like terms: -16 + 16 = 0
16 + 42x + -49x2 = 0 + -42x + 42x + 49x2 + -49x2
16 + 42x + -49x2 = -42x + 42x + 49x2 + -49x2

Combine like terms: -42x + 42x = 0
16 + 42x + -49x2 = 0 + 49x2 + -49x2
16 + 42x + -49x2 = 49x2 + -49x2

Combine like terms: 49x2 + -49x2 = 0
16 + 42x + -49x2 = 0

Factor a trinomial.
(8 + -7x)(2 + 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 '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

Solving
2 + 7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {1.142857143, -0.2857142857}

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