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Simplifying -16 = 30x + 15x2 Solving -16 = 30x + 15x2 Solving for variable 'x'. Reorder the terms: -16 + -30x + -15x2 = 30x + -30x + 15x2 + -15x2 Combine like terms: 30x + -30x = 0 -16 + -30x + -15x2 = 0 + 15x2 + -15x2 -16 + -30x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -16 + -30x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 30x + 15x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(16 + 30x + 15x2)' equal to zero and attempt to solve: Simplifying 16 + 30x + 15x2 = 0 Solving 16 + 30x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1.066666667 + 2x + x2 = 0 Move the constant term to the right: Add '-1.066666667' to each side of the equation. 1.066666667 + 2x + -1.066666667 + x2 = 0 + -1.066666667 Reorder the terms: 1.066666667 + -1.066666667 + 2x + x2 = 0 + -1.066666667 Combine like terms: 1.066666667 + -1.066666667 = 0.000000000 0.000000000 + 2x + x2 = 0 + -1.066666667 2x + x2 = 0 + -1.066666667 Combine like terms: 0 + -1.066666667 = -1.066666667 2x + x2 = -1.066666667 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 = -1.066666667 + 1 Reorder the terms: 1 + 2x + x2 = -1.066666667 + 1 Combine like terms: -1.066666667 + 1 = -0.066666667 1 + 2x + x2 = -0.066666667 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.066666667 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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