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