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Simplifying 10x2 + 24x + 16 = 0 Reorder the terms: 16 + 24x + 10x2 = 0 Solving 16 + 24x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 12x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 12x + 5x2)' equal to zero and attempt to solve: Simplifying 8 + 12x + 5x2 = 0 Solving 8 + 12x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + 2.4x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 2.4x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 2.4x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 2.4x + x2 = 0 + -1.6 2.4x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 2.4x + x2 = -1.6 The x term is 2.4x. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4x + 1.44 + x2 = -1.6 + 1.44 Reorder the terms: 1.44 + 2.4x + x2 = -1.6 + 1.44 Combine like terms: -1.6 + 1.44 = -0.16 1.44 + 2.4x + x2 = -0.16 Factor a perfect square on the left side: (x + 1.2)(x + 1.2) = -0.16 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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