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Simplifying 6x(x + -5) = -54 Reorder the terms: 6x(-5 + x) = -54 (-5 * 6x + x * 6x) = -54 (-30x + 6x2) = -54 Solving -30x + 6x2 = -54 Solving for variable 'x'. Reorder the terms: 54 + -30x + 6x2 = -54 + 54 Combine like terms: -54 + 54 = 0 54 + -30x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(9 + -5x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(9 + -5x + x2)' equal to zero and attempt to solve: Simplifying 9 + -5x + x2 = 0 Solving 9 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x + x2 = 0 + -9 -5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5x + x2 = -9 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -9 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + -5x + x2 = -2.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -2.75 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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