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Simplifying
(5x2 + 11) + -1(9x2 + -4) = 0
Reorder the terms:
(11 + 5x2) + -1(9x2 + -4) = 0
Remove parenthesis around (11 + 5x2)
11 + 5x2 + -1(9x2 + -4) = 0
Reorder the terms:
11 + 5x2 + -1(-4 + 9x2) = 0
11 + 5x2 + (-4 * -1 + 9x2 * -1) = 0
11 + 5x2 + (4 + -9x2) = 0
Reorder the terms:
11 + 4 + 5x2 + -9x2 = 0
Combine like terms: 11 + 4 = 15
15 + 5x2 + -9x2 = 0
Combine like terms: 5x2 + -9x2 = -4x2
15 + -4x2 = 0
Solving
15 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -4x2 = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -4x2 = 0 + -15
-4x2 = 0 + -15
Combine like terms: 0 + -15 = -15
-4x2 = -15
Divide each side by '-4'.
x2 = 3.75
Simplifying
x2 = 3.75
Take the square root of each side:
x = {-1.936491673, 1.936491673}
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