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Simplifying -3(x2 + 10x + 25) + -6 = 0 Reorder the terms: -3(25 + 10x + x2) + -6 = 0 (25 * -3 + 10x * -3 + x2 * -3) + -6 = 0 (-75 + -30x + -3x2) + -6 = 0 Reorder the terms: -75 + -6 + -30x + -3x2 = 0 Combine like terms: -75 + -6 = -81 -81 + -30x + -3x2 = 0 Solving -81 + -30x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3'. -3(27 + 10x + x2) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(27 + 10x + x2)' equal to zero and attempt to solve: Simplifying 27 + 10x + x2 = 0 Solving 27 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + 10x + -27 + x2 = 0 + -27 Reorder the terms: 27 + -27 + 10x + x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 10x + x2 = 0 + -27 10x + x2 = 0 + -27 Combine like terms: 0 + -27 = -27 10x + x2 = -27 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -27 + 25 Reorder the terms: 25 + 10x + x2 = -27 + 25 Combine like terms: -27 + 25 = -2 25 + 10x + x2 = -2 Factor a perfect square on the left side: (x + 5)(x + 5) = -2 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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