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Simplifying
(12 + -6x2) + -1(4x2 + -7) = 0
Remove parenthesis around (12 + -6x2)
12 + -6x2 + -1(4x2 + -7) = 0
Reorder the terms:
12 + -6x2 + -1(-7 + 4x2) = 0
12 + -6x2 + (-7 * -1 + 4x2 * -1) = 0
12 + -6x2 + (7 + -4x2) = 0
Reorder the terms:
12 + 7 + -6x2 + -4x2 = 0
Combine like terms: 12 + 7 = 19
19 + -6x2 + -4x2 = 0
Combine like terms: -6x2 + -4x2 = -10x2
19 + -10x2 = 0
Solving
19 + -10x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-19' to each side of the equation.
19 + -19 + -10x2 = 0 + -19
Combine like terms: 19 + -19 = 0
0 + -10x2 = 0 + -19
-10x2 = 0 + -19
Combine like terms: 0 + -19 = -19
-10x2 = -19
Divide each side by '-10'.
x2 = 1.9
Simplifying
x2 = 1.9
Take the square root of each side:
x = {-1.378404875, 1.378404875}
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