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Simplifying 5x(x + -6) = -50 Reorder the terms: 5x(-6 + x) = -50 (-6 * 5x + x * 5x) = -50 (-30x + 5x2) = -50 Solving -30x + 5x2 = -50 Solving for variable 'x'. Reorder the terms: 50 + -30x + 5x2 = -50 + 50 Combine like terms: -50 + 50 = 0 50 + -30x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(10 + -6x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(10 + -6x + x2)' equal to zero and attempt to solve: Simplifying 10 + -6x + x2 = 0 Solving 10 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6x + x2 = 0 + -10 -6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6x + x2 = -10 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -10 + 9 Reorder the terms: 9 + -6x + x2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6x + x2 = -1 Factor a perfect square on the left side: (x + -3)(x + -3) = -1 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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