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Simplifying 5(5x2 + -6x + 8) = 0 Reorder the terms: 5(8 + -6x + 5x2) = 0 (8 * 5 + -6x * 5 + 5x2 * 5) = 0 (40 + -30x + 25x2) = 0 Solving 40 + -30x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(8 + -6x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + -6x + 5x2)' equal to zero and attempt to solve: Simplifying 8 + -6x + 5x2 = 0 Solving 8 + -6x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + -1.2x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + -1.2x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + -1.2x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -1.2x + x2 = 0 + -1.6 -1.2x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -1.2x + x2 = -1.6 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -1.6 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -1.6 + 0.36 Combine like terms: -1.6 + 0.36 = -1.24 0.36 + -1.2x + x2 = -1.24 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -1.24 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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