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

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


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

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

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

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

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

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

Solving for variable 'x'.

Factor a trinomial.
(-2 + -7x)(8 + -7x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.2857142857, 1.142857143}

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