-5x^2-15x-30=0

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Solution for -5x^2-15x-30=0 equation:


Simplifying
-5x2 + -15x + -30 = 0

Reorder the terms:
-30 + -15x + -5x2 = 0

Solving
-30 + -15x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(6 + 3x + x2) = 0

Ignore the factor -5.

Subproblem 1

Set the factor '(6 + 3x + x2)' equal to zero and attempt to solve: Simplifying 6 + 3x + x2 = 0 Solving 6 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 3x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 3x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x + x2 = 0 + -6 3x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 3x + x2 = -6 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -6 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -6 + 2.25 Combine like terms: -6 + 2.25 = -3.75 2.25 + 3x + x2 = -3.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -3.75 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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