3x^2+6x+90=-6

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Solution for 3x^2+6x+90=-6 equation:


Simplifying
3x2 + 6x + 90 = -6

Reorder the terms:
90 + 6x + 3x2 = -6

Solving
90 + 6x + 3x2 = -6

Solving for variable 'x'.

Reorder the terms:
90 + 6 + 6x + 3x2 = -6 + 6

Combine like terms: 90 + 6 = 96
96 + 6x + 3x2 = -6 + 6

Combine like terms: -6 + 6 = 0
96 + 6x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(32 + 2x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(32 + 2x + x2)' equal to zero and attempt to solve: Simplifying 32 + 2x + x2 = 0 Solving 32 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 2x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 2x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 2x + x2 = 0 + -32 2x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 2x + x2 = -32 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -32 + 1 Reorder the terms: 1 + 2x + x2 = -32 + 1 Combine like terms: -32 + 1 = -31 1 + 2x + x2 = -31 Factor a perfect square on the left side: (x + 1)(x + 1) = -31 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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