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Simplifying
(5x2 + -4 + -1) + -1(-4x2 + -4) = 0
Reorder the terms:
(-4 + -1 + 5x2) + -1(-4x2 + -4) = 0
Combine like terms: -4 + -1 = -5
(-5 + 5x2) + -1(-4x2 + -4) = 0
Remove parenthesis around (-5 + 5x2)
-5 + 5x2 + -1(-4x2 + -4) = 0
Reorder the terms:
-5 + 5x2 + -1(-4 + -4x2) = 0
-5 + 5x2 + (-4 * -1 + -4x2 * -1) = 0
-5 + 5x2 + (4 + 4x2) = 0
Reorder the terms:
-5 + 4 + 5x2 + 4x2 = 0
Combine like terms: -5 + 4 = -1
-1 + 5x2 + 4x2 = 0
Combine like terms: 5x2 + 4x2 = 9x2
-1 + 9x2 = 0
Solving
-1 + 9x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9x2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 9x2 = 0 + 1
9x2 = 0 + 1
Combine like terms: 0 + 1 = 1
9x2 = 1
Divide each side by '9'.
x2 = 0.1111111111
Simplifying
x2 = 0.1111111111
Take the square root of each side:
x = {-0.333333333, 0.333333333}
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