3x^2-24x+17=-40

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Solution for 3x^2-24x+17=-40 equation:


Simplifying
3x2 + -24x + 17 = -40

Reorder the terms:
17 + -24x + 3x2 = -40

Solving
17 + -24x + 3x2 = -40

Solving for variable 'x'.

Reorder the terms:
17 + 40 + -24x + 3x2 = -40 + 40

Combine like terms: 17 + 40 = 57
57 + -24x + 3x2 = -40 + 40

Combine like terms: -40 + 40 = 0
57 + -24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(19 + -8x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(19 + -8x + x2)' equal to zero and attempt to solve: Simplifying 19 + -8x + x2 = 0 Solving 19 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -8x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -8x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8x + x2 = 0 + -19 -8x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -8x + x2 = -19 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 = -19 + 16 Reorder the terms: 16 + -8x + x2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + -8x + x2 = -3 Factor a perfect square on the left side: (x + -4)(x + -4) = -3 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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