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Simplifying 6(2x + 1) + -6x2 + -576 = 0 Reorder the terms: 6(1 + 2x) + -6x2 + -576 = 0 (1 * 6 + 2x * 6) + -6x2 + -576 = 0 (6 + 12x) + -6x2 + -576 = 0 Reorder the terms: 6 + -576 + 12x + -6x2 = 0 Combine like terms: 6 + -576 = -570 -570 + 12x + -6x2 = 0 Solving -570 + 12x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-95 + 2x + -1x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-95 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -95 + 2x + -1x2 = 0 Solving -95 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 95 + -2x + x2 = 0 Move the constant term to the right: Add '-95' to each side of the equation. 95 + -2x + -95 + x2 = 0 + -95 Reorder the terms: 95 + -95 + -2x + x2 = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -2x + x2 = 0 + -95 -2x + x2 = 0 + -95 Combine like terms: 0 + -95 = -95 -2x + x2 = -95 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 = -95 + 1 Reorder the terms: 1 + -2x + x2 = -95 + 1 Combine like terms: -95 + 1 = -94 1 + -2x + x2 = -94 Factor a perfect square on the left side: (x + -1)(x + -1) = -94 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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