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Simplifying
x + 5 = 9x2 + x + 1
Reorder the terms:
5 + x = 9x2 + x + 1
Reorder the terms:
5 + x = 1 + x + 9x2
Add '-1x' to each side of the equation.
5 + x + -1x = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 + 0 = 1 + x + -1x + 9x2
5 = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 = 1 + 0 + 9x2
5 = 1 + 9x2
Solving
5 = 1 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
5 + -9x2 = 1 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
5 + -9x2 = 1 + 0
5 + -9x2 = 1
Add '-5' to each side of the equation.
5 + -5 + -9x2 = 1 + -5
Combine like terms: 5 + -5 = 0
0 + -9x2 = 1 + -5
-9x2 = 1 + -5
Combine like terms: 1 + -5 = -4
-9x2 = -4
Divide each side by '-9'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
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