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Simplifying 4x2 + -2x + 8(3x2 + 2) = 0 Reorder the terms: 4x2 + -2x + 8(2 + 3x2) = 0 4x2 + -2x + (2 * 8 + 3x2 * 8) = 0 4x2 + -2x + (16 + 24x2) = 0 Reorder the terms: 16 + -2x + 4x2 + 24x2 = 0 Combine like terms: 4x2 + 24x2 = 28x2 16 + -2x + 28x2 = 0 Solving 16 + -2x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -1x + 14x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1x + 14x2)' equal to zero and attempt to solve: Simplifying 8 + -1x + 14x2 = 0 Solving 8 + -1x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.5714285714 + -0.07142857143x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -0.07142857143x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -0.07142857143x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -0.07142857143x + x2 = 0 + -0.5714285714 -0.07142857143x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -0.07142857143x + x2 = -0.5714285714 The x term is -0.07142857143x. Take half its coefficient (-0.03571428572). Square it (0.001275510204) and add it to both sides. Add '0.001275510204' to each side of the equation. -0.07142857143x + 0.001275510204 + x2 = -0.5714285714 + 0.001275510204 Reorder the terms: 0.001275510204 + -0.07142857143x + x2 = -0.5714285714 + 0.001275510204 Combine like terms: -0.5714285714 + 0.001275510204 = -0.570153061196 0.001275510204 + -0.07142857143x + x2 = -0.570153061196 Factor a perfect square on the left side: (x + -0.03571428572)(x + -0.03571428572) = -0.570153061196 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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