4x^2+8x=-24

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Solution for 4x^2+8x=-24 equation:


Simplifying
4x2 + 8x = -24

Reorder the terms:
8x + 4x2 = -24

Solving
8x + 4x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + 8x + 4x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 8x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 2x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(6 + 2x + x2)' equal to zero and attempt to solve: Simplifying 6 + 2x + x2 = 0 Solving 6 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 2x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 2x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + x2 = 0 + -6 2x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 2x + x2 = -6 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 = -6 + 1 Reorder the terms: 1 + 2x + x2 = -6 + 1 Combine like terms: -6 + 1 = -5 1 + 2x + x2 = -5 Factor a perfect square on the left side: (x + 1)(x + 1) = -5 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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