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