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Simplifying
x + -4x = 6x2 + -3x
Combine like terms: x + -4x = -3x
-3x = 6x2 + -3x
Reorder the terms:
-3x = -3x + 6x2
Add '3x' to each side of the equation.
-3x + 3x = -3x + 3x + 6x2
Combine like terms: -3x + 3x = 0
0 = -3x + 3x + 6x2
Combine like terms: -3x + 3x = 0
0 = 0 + 6x2
0 = 6x2
Solving
0 = 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
0 + -6x2 = 6x2 + -6x2
Remove the zero:
-6x2 = 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-6x2 = 0
Divide each side by '-6'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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