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Simplifying -10x2 + 4x + -6 = 0 Reorder the terms: -6 + 4x + -10x2 = 0 Solving -6 + 4x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 2x + -5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 2x + -5x2)' equal to zero and attempt to solve: Simplifying -3 + 2x + -5x2 = 0 Solving -3 + 2x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.6 + -0.4x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -0.4x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -0.4x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.4x + x2 = 0 + -0.6 -0.4x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -0.4x + x2 = -0.6 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -0.6 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.04 + -0.4x + x2 = -0.56 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -0.56 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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