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Simplifying 10x2 + 4x = -20 Reorder the terms: 4x + 10x2 = -20 Solving 4x + 10x2 = -20 Solving for variable 'x'. Reorder the terms: 20 + 4x + 10x2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 4x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 2x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 2x + 5x2)' equal to zero and attempt to solve: Simplifying 10 + 2x + 5x2 = 0 Solving 10 + 2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + 0.4x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.4x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 0.4x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.4x + x2 = 0 + -2 0.4x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.4x + x2 = -2 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 = -2 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -2 + 0.04 Combine like terms: -2 + 0.04 = -1.96 0.04 + 0.4x + x2 = -1.96 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -1.96 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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