9x^2+9x=-9

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Solution for 9x^2+9x=-9 equation:


Simplifying
9x2 + 9x = -9

Reorder the terms:
9x + 9x2 = -9

Solving
9x + 9x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 9x + 9x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 9x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(1 + x + x2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(1 + x + x2)' equal to zero and attempt to solve: Simplifying 1 + x + x2 = 0 Solving 1 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + x2 = 0 + -1 x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x + x2 = -1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -1 + 0.25 Reorder the terms: 0.25 + x + x2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + x + x2 = -0.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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