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Simplifying
(7x2 + 2x + -3) + -1(x2 + 2x + -1) = 0
Reorder the terms:
(-3 + 2x + 7x2) + -1(x2 + 2x + -1) = 0
Remove parenthesis around (-3 + 2x + 7x2)
-3 + 2x + 7x2 + -1(x2 + 2x + -1) = 0
Reorder the terms:
-3 + 2x + 7x2 + -1(-1 + 2x + x2) = 0
-3 + 2x + 7x2 + (-1 * -1 + 2x * -1 + x2 * -1) = 0
-3 + 2x + 7x2 + (1 + -2x + -1x2) = 0
Reorder the terms:
-3 + 1 + 2x + -2x + 7x2 + -1x2 = 0
Combine like terms: -3 + 1 = -2
-2 + 2x + -2x + 7x2 + -1x2 = 0
Combine like terms: 2x + -2x = 0
-2 + 0 + 7x2 + -1x2 = 0
-2 + 7x2 + -1x2 = 0
Combine like terms: 7x2 + -1x2 = 6x2
-2 + 6x2 = 0
Solving
-2 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 6x2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 6x2 = 0 + 2
6x2 = 0 + 2
Combine like terms: 0 + 2 = 2
6x2 = 2
Divide each side by '6'.
x2 = 0.3333333333
Simplifying
x2 = 0.3333333333
Take the square root of each side:
x = {-0.577350269, 0.577350269}
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