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Simplifying
12x2 + 4(4 + -3) + -14x2 = 0
Combine like terms: 4 + -3 = 1
12x2 + 4(1) + -14x2 = 0
Multiply 4 * 1
12x2 + 4 + -14x2 = 0
Reorder the terms:
4 + 12x2 + -14x2 = 0
Combine like terms: 12x2 + -14x2 = -2x2
4 + -2x2 = 0
Solving
4 + -2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -2x2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -2x2 = 0 + -4
-2x2 = 0 + -4
Combine like terms: 0 + -4 = -4
-2x2 = -4
Divide each side by '-2'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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