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Simplifying 4x(x + -2) = -24 Reorder the terms: 4x(-2 + x) = -24 (-2 * 4x + x * 4x) = -24 (-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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