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Simplifying
(3x2 + -4x + -2) + -1(-1x2 + -4x + 7) = 0
Reorder the terms:
(-2 + -4x + 3x2) + -1(-1x2 + -4x + 7) = 0
Remove parenthesis around (-2 + -4x + 3x2)
-2 + -4x + 3x2 + -1(-1x2 + -4x + 7) = 0
Reorder the terms:
-2 + -4x + 3x2 + -1(7 + -4x + -1x2) = 0
-2 + -4x + 3x2 + (7 * -1 + -4x * -1 + -1x2 * -1) = 0
-2 + -4x + 3x2 + (-7 + 4x + 1x2) = 0
Reorder the terms:
-2 + -7 + -4x + 4x + 3x2 + 1x2 = 0
Combine like terms: -2 + -7 = -9
-9 + -4x + 4x + 3x2 + 1x2 = 0
Combine like terms: -4x + 4x = 0
-9 + 0 + 3x2 + 1x2 = 0
-9 + 3x2 + 1x2 = 0
Combine like terms: 3x2 + 1x2 = 4x2
-9 + 4x2 = 0
Solving
-9 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 4x2 = 0 + 9
4x2 = 0 + 9
Combine like terms: 0 + 9 = 9
4x2 = 9
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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