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Simplifying 10x2 + -28x + 30 = 0 Reorder the terms: 30 + -28x + 10x2 = 0 Solving 30 + -28x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -14x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -14x + 5x2)' equal to zero and attempt to solve: Simplifying 15 + -14x + 5x2 = 0 Solving 15 + -14x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3 + -2.8x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2.8x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -2.8x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2.8x + x2 = 0 + -3 -2.8x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2.8x + x2 = -3 The x term is -2.8x. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8x + 1.96 + x2 = -3 + 1.96 Reorder the terms: 1.96 + -2.8x + x2 = -3 + 1.96 Combine like terms: -3 + 1.96 = -1.04 1.96 + -2.8x + x2 = -1.04 Factor a perfect square on the left side: (x + -1.4)(x + -1.4) = -1.04 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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