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Simplifying
6x + -12x2 = 2(2x2 + 3x) + -1
Reorder the terms:
6x + -12x2 = 2(3x + 2x2) + -1
6x + -12x2 = (3x * 2 + 2x2 * 2) + -1
6x + -12x2 = (6x + 4x2) + -1
Reorder the terms:
6x + -12x2 = -1 + 6x + 4x2
Add '-6x' to each side of the equation.
6x + -6x + -12x2 = -1 + 6x + -6x + 4x2
Combine like terms: 6x + -6x = 0
0 + -12x2 = -1 + 6x + -6x + 4x2
-12x2 = -1 + 6x + -6x + 4x2
Combine like terms: 6x + -6x = 0
-12x2 = -1 + 0 + 4x2
-12x2 = -1 + 4x2
Solving
-12x2 = -1 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-12x2 + -4x2 = -1 + 4x2 + -4x2
Combine like terms: -12x2 + -4x2 = -16x2
-16x2 = -1 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-16x2 = -1 + 0
-16x2 = -1
Divide each side by '-16'.
x2 = 0.0625
Simplifying
x2 = 0.0625
Take the square root of each side:
x = {-0.25, 0.25}
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