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Simplifying -25x2 + 15x + -35 = 0 Reorder the terms: -35 + 15x + -25x2 = 0 Solving -35 + 15x + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-7 + 3x + -5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + 3x + -5x2)' equal to zero and attempt to solve: Simplifying -7 + 3x + -5x2 = 0 Solving -7 + 3x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.4 + -0.6x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -0.6x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -0.6x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.6x + x2 = 0 + -1.4 -0.6x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -0.6x + x2 = -1.4 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -1.4 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -1.4 + 0.09 Combine like terms: -1.4 + 0.09 = -1.31 0.09 + -0.6x + x2 = -1.31 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -1.31 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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