(7x-5)(7x-5)-(7x+6)(7x+6)=0

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Solution for (7x-5)(7x-5)-(7x+6)(7x+6)=0 equation: 


Simplifying
(7x + -5)(7x + -5) + -1(7x + 6)(7x + 6) = 0

Reorder the terms:
(-5 + 7x)(7x + -5) + -1(7x + 6)(7x + 6) = 0

Reorder the terms:
(-5 + 7x)(-5 + 7x) + -1(7x + 6)(7x + 6) = 0

Multiply (-5 + 7x) * (-5 + 7x)
(-5(-5 + 7x) + 7x * (-5 + 7x)) + -1(7x + 6)(7x + 6) = 0
((-5 * -5 + 7x * -5) + 7x * (-5 + 7x)) + -1(7x + 6)(7x + 6) = 0
((25 + -35x) + 7x * (-5 + 7x)) + -1(7x + 6)(7x + 6) = 0
(25 + -35x + (-5 * 7x + 7x * 7x)) + -1(7x + 6)(7x + 6) = 0
(25 + -35x + (-35x + 49x2)) + -1(7x + 6)(7x + 6) = 0

Combine like terms: -35x + -35x = -70x
(25 + -70x + 49x2) + -1(7x + 6)(7x + 6) = 0

Reorder the terms:
25 + -70x + 49x2 + -1(6 + 7x)(7x + 6) = 0

Reorder the terms:
25 + -70x + 49x2 + -1(6 + 7x)(6 + 7x) = 0

Multiply (6 + 7x) * (6 + 7x)
25 + -70x + 49x2 + -1(6(6 + 7x) + 7x * (6 + 7x)) = 0
25 + -70x + 49x2 + -1((6 * 6 + 7x * 6) + 7x * (6 + 7x)) = 0
25 + -70x + 49x2 + -1((36 + 42x) + 7x * (6 + 7x)) = 0
25 + -70x + 49x2 + -1(36 + 42x + (6 * 7x + 7x * 7x)) = 0
25 + -70x + 49x2 + -1(36 + 42x + (42x + 49x2)) = 0

Combine like terms: 42x + 42x = 84x
25 + -70x + 49x2 + -1(36 + 84x + 49x2) = 0
25 + -70x + 49x2 + (36 * -1 + 84x * -1 + 49x2 * -1) = 0
25 + -70x + 49x2 + (-36 + -84x + -49x2) = 0

Reorder the terms:
25 + -36 + -70x + -84x + 49x2 + -49x2 = 0

Combine like terms: 25 + -36 = -11
-11 + -70x + -84x + 49x2 + -49x2 = 0

Combine like terms: -70x + -84x = -154x
-11 + -154x + 49x2 + -49x2 = 0

Combine like terms: 49x2 + -49x2 = 0
-11 + -154x + 0 = 0
-11 + -154x = 0

Solving
-11 + -154x = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -154x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -154x = 0 + 11
-154x = 0 + 11

Combine like terms: 0 + 11 = 11
-154x = 11

Divide each side by '-154'.
x = -0.07142857143

Simplifying
x = -0.07142857143

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