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Simplifying
-6 + -4x + 6x2 = -4 + -4x + 3x2
Add '4x' to each side of the equation.
-6 + -4x + 4x + 6x2 = -4 + -4x + 4x + 3x2
Combine like terms: -4x + 4x = 0
-6 + 0 + 6x2 = -4 + -4x + 4x + 3x2
-6 + 6x2 = -4 + -4x + 4x + 3x2
Combine like terms: -4x + 4x = 0
-6 + 6x2 = -4 + 0 + 3x2
-6 + 6x2 = -4 + 3x2
Solving
-6 + 6x2 = -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.
-6 + 6x2 + -3x2 = -4 + 3x2 + -3x2
Combine like terms: 6x2 + -3x2 = 3x2
-6 + 3x2 = -4 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-6 + 3x2 = -4 + 0
-6 + 3x2 = -4
Add '6' to each side of the equation.
-6 + 6 + 3x2 = -4 + 6
Combine like terms: -6 + 6 = 0
0 + 3x2 = -4 + 6
3x2 = -4 + 6
Combine like terms: -4 + 6 = 2
3x2 = 2
Divide each side by '3'.
x2 = 0.6666666667
Simplifying
x2 = 0.6666666667
Take the square root of each side:
x = {-0.816496581, 0.816496581}
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