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Simplifying 8x(9x) = 4x + -6 Remove parenthesis around (9x) 8x * 9x = 4x + -6 Reorder the terms for easier multiplication: 8 * 9x * x = 4x + -6 Multiply 8 * 9 72x * x = 4x + -6 Multiply x * x 72x2 = 4x + -6 Reorder the terms: 72x2 = -6 + 4x Solving 72x2 = -6 + 4x Solving for variable 'x'. Reorder the terms: 6 + -4x + 72x2 = -6 + 4x + 6 + -4x Reorder the terms: 6 + -4x + 72x2 = -6 + 6 + 4x + -4x Combine like terms: -6 + 6 = 0 6 + -4x + 72x2 = 0 + 4x + -4x 6 + -4x + 72x2 = 4x + -4x Combine like terms: 4x + -4x = 0 6 + -4x + 72x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -2x + 36x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -2x + 36x2)' equal to zero and attempt to solve: Simplifying 3 + -2x + 36x2 = 0 Solving 3 + -2x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.08333333333 + -0.05555555556x + x2 = 0 Move the constant term to the right: Add '-0.08333333333' to each side of the equation. 0.08333333333 + -0.05555555556x + -0.08333333333 + x2 = 0 + -0.08333333333 Reorder the terms: 0.08333333333 + -0.08333333333 + -0.05555555556x + x2 = 0 + -0.08333333333 Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000 0.00000000000 + -0.05555555556x + x2 = 0 + -0.08333333333 -0.05555555556x + x2 = 0 + -0.08333333333 Combine like terms: 0 + -0.08333333333 = -0.08333333333 -0.05555555556x + x2 = -0.08333333333 The x term is -0.05555555556x. Take half its coefficient (-0.02777777778). Square it (0.0007716049384) and add it to both sides. Add '0.0007716049384' to each side of the equation. -0.05555555556x + 0.0007716049384 + x2 = -0.08333333333 + 0.0007716049384 Reorder the terms: 0.0007716049384 + -0.05555555556x + x2 = -0.08333333333 + 0.0007716049384 Combine like terms: -0.08333333333 + 0.0007716049384 = -0.0825617283916 0.0007716049384 + -0.05555555556x + x2 = -0.0825617283916 Factor a perfect square on the left side: (x + -0.02777777778)(x + -0.02777777778) = -0.0825617283916 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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