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Simplifying 5x(x + -4) = -45 Reorder the terms: 5x(-4 + x) = -45 (-4 * 5x + x * 5x) = -45 (-20x + 5x2) = -45 Solving -20x + 5x2 = -45 Solving for variable 'x'. Reorder the terms: 45 + -20x + 5x2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + -20x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -4x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9 + -4x + x2)' equal to zero and attempt to solve: Simplifying 9 + -4x + x2 = 0 Solving 9 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -4x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x + x2 = 0 + -9 -4x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4x + x2 = -9 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -9 + 4 Reorder the terms: 4 + -4x + x2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4x + x2 = -5 Factor a perfect square on the left side: (x + -2)(x + -2) = -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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