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