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Simplifying
4x + -1 = 3x2 + 4x + -4
Reorder the terms:
-1 + 4x = 3x2 + 4x + -4
Reorder the terms:
-1 + 4x = -4 + 4x + 3x2
Add '-4x' to each side of the equation.
-1 + 4x + -4x = -4 + 4x + -4x + 3x2
Combine like terms: 4x + -4x = 0
-1 + 0 = -4 + 4x + -4x + 3x2
-1 = -4 + 4x + -4x + 3x2
Combine like terms: 4x + -4x = 0
-1 = -4 + 0 + 3x2
-1 = -4 + 3x2
Solving
-1 = -4 + 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.
-1 + -3x2 = -4 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-1 + -3x2 = -4 + 0
-1 + -3x2 = -4
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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