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Simplifying
(4x2 + -3x + 6) + (-7x2 + 3x + 6) = 0
Reorder the terms:
(6 + -3x + 4x2) + (-7x2 + 3x + 6) = 0
Remove parenthesis around (6 + -3x + 4x2)
6 + -3x + 4x2 + (-7x2 + 3x + 6) = 0
Reorder the terms:
6 + -3x + 4x2 + (6 + 3x + -7x2) = 0
Remove parenthesis around (6 + 3x + -7x2)
6 + -3x + 4x2 + 6 + 3x + -7x2 = 0
Reorder the terms:
6 + 6 + -3x + 3x + 4x2 + -7x2 = 0
Combine like terms: 6 + 6 = 12
12 + -3x + 3x + 4x2 + -7x2 = 0
Combine like terms: -3x + 3x = 0
12 + 0 + 4x2 + -7x2 = 0
12 + 4x2 + -7x2 = 0
Combine like terms: 4x2 + -7x2 = -3x2
12 + -3x2 = 0
Solving
12 + -3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + -3x2 = 0 + -12
Combine like terms: 12 + -12 = 0
0 + -3x2 = 0 + -12
-3x2 = 0 + -12
Combine like terms: 0 + -12 = -12
-3x2 = -12
Divide each side by '-3'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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