(1+x)(1+x)=1+6x

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Solution for (1+x)(1+x)=1+6x equation: 


Simplifying
(1 + x)(1 + x) = 1 + 6x

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) = 1 + 6x
((1 * 1 + x * 1) + x(1 + x)) = 1 + 6x
((1 + 1x) + x(1 + x)) = 1 + 6x
(1 + 1x + (1 * x + x * x)) = 1 + 6x
(1 + 1x + (1x + x2)) = 1 + 6x

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) = 1 + 6x

Add '-1' to each side of the equation.
1 + 2x + -1 + x2 = 1 + -1 + 6x

Reorder the terms:
1 + -1 + 2x + x2 = 1 + -1 + 6x

Combine like terms: 1 + -1 = 0
0 + 2x + x2 = 1 + -1 + 6x
2x + x2 = 1 + -1 + 6x

Combine like terms: 1 + -1 = 0
2x + x2 = 0 + 6x
2x + x2 = 6x

Solving
2x + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
2x + -6x + x2 = 6x + -6x

Combine like terms: 2x + -6x = -4x
-4x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-4x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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