-2(x^2+8x+16)-5=23

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Solution for -2(x^2+8x+16)-5=23 equation:


Simplifying
-2(x2 + 8x + 16) + -5 = 23

Reorder the terms:
-2(16 + 8x + x2) + -5 = 23
(16 * -2 + 8x * -2 + x2 * -2) + -5 = 23
(-32 + -16x + -2x2) + -5 = 23

Reorder the terms:
-32 + -5 + -16x + -2x2 = 23

Combine like terms: -32 + -5 = -37
-37 + -16x + -2x2 = 23

Solving
-37 + -16x + -2x2 = 23

Solving for variable 'x'.

Reorder the terms:
-37 + -23 + -16x + -2x2 = 23 + -23

Combine like terms: -37 + -23 = -60
-60 + -16x + -2x2 = 23 + -23

Combine like terms: 23 + -23 = 0
-60 + -16x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(30 + 8x + x2) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(30 + 8x + x2)' equal to zero and attempt to solve: Simplifying 30 + 8x + x2 = 0 Solving 30 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 8x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + 8x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 8x + x2 = 0 + -30 8x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 8x + x2 = -30 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -30 + 16 Reorder the terms: 16 + 8x + x2 = -30 + 16 Combine like terms: -30 + 16 = -14 16 + 8x + x2 = -14 Factor a perfect square on the left side: (x + 4)(x + 4) = -14 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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