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Simplifying
4(x2 + -9) + -1(x2 + -9) + 5 = 0
Reorder the terms:
4(-9 + x2) + -1(x2 + -9) + 5 = 0
(-9 * 4 + x2 * 4) + -1(x2 + -9) + 5 = 0
(-36 + 4x2) + -1(x2 + -9) + 5 = 0
Reorder the terms:
-36 + 4x2 + -1(-9 + x2) + 5 = 0
-36 + 4x2 + (-9 * -1 + x2 * -1) + 5 = 0
-36 + 4x2 + (9 + -1x2) + 5 = 0
Reorder the terms:
-36 + 9 + 5 + 4x2 + -1x2 = 0
Combine like terms: -36 + 9 = -27
-27 + 5 + 4x2 + -1x2 = 0
Combine like terms: -27 + 5 = -22
-22 + 4x2 + -1x2 = 0
Combine like terms: 4x2 + -1x2 = 3x2
-22 + 3x2 = 0
Solving
-22 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '22' to each side of the equation.
-22 + 22 + 3x2 = 0 + 22
Combine like terms: -22 + 22 = 0
0 + 3x2 = 0 + 22
3x2 = 0 + 22
Combine like terms: 0 + 22 = 22
3x2 = 22
Divide each side by '3'.
x2 = 7.333333333
Simplifying
x2 = 7.333333333
Take the square root of each side:
x = {-2.708012801, 2.708012801}
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