6x(7x+7)=7(6x+6)

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Solution for 6x(7x+7)=7(6x+6) equation:


Simplifying
6x(7x + 7) = 7(6x + 6)

Reorder the terms:
6x(7 + 7x) = 7(6x + 6)
(7 * 6x + 7x * 6x) = 7(6x + 6)
(42x + 42x2) = 7(6x + 6)

Reorder the terms:
42x + 42x2 = 7(6 + 6x)
42x + 42x2 = (6 * 7 + 6x * 7)
42x + 42x2 = (42 + 42x)

Add '-42x' to each side of the equation.
42x + -42x + 42x2 = 42 + 42x + -42x

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

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

Solving
42x2 = 42

Solving for variable 'x'.

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

Divide each side by '42'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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