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Simplifying
3(x + 1) + 1 + 2x = 2x(2x + 2) + x
Reorder the terms:
3(1 + x) + 1 + 2x = 2x(2x + 2) + x
(1 * 3 + x * 3) + 1 + 2x = 2x(2x + 2) + x
(3 + 3x) + 1 + 2x = 2x(2x + 2) + x
Reorder the terms:
3 + 1 + 3x + 2x = 2x(2x + 2) + x
Combine like terms: 3 + 1 = 4
4 + 3x + 2x = 2x(2x + 2) + x
Combine like terms: 3x + 2x = 5x
4 + 5x = 2x(2x + 2) + x
Reorder the terms:
4 + 5x = 2x(2 + 2x) + x
4 + 5x = (2 * 2x + 2x * 2x) + x
4 + 5x = (4x + 4x2) + x
Reorder the terms:
4 + 5x = 4x + x + 4x2
Combine like terms: 4x + x = 5x
4 + 5x = 5x + 4x2
Add '-5x' to each side of the equation.
4 + 5x + -5x = 5x + -5x + 4x2
Combine like terms: 5x + -5x = 0
4 + 0 = 5x + -5x + 4x2
4 = 5x + -5x + 4x2
Combine like terms: 5x + -5x = 0
4 = 0 + 4x2
4 = 4x2
Solving
4 = 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
4 + -4x2 = 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
4 + -4x2 = 0
Add '-4' to each side of the equation.
4 + -4 + -4x2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -4x2 = 0 + -4
-4x2 = 0 + -4
Combine like terms: 0 + -4 = -4
-4x2 = -4
Divide each side by '-4'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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