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Simplifying 11 + -2(8 + 3x) = 7x2 11 + (8 * -2 + 3x * -2) = 7x2 11 + (-16 + -6x) = 7x2 Combine like terms: 11 + -16 = -5 -5 + -6x = 7x2 Solving -5 + -6x = 7x2 Solving for variable 'x'. Combine like terms: 7x2 + -7x2 = 0 -5 + -6x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 6x + 7x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 6x + 7x2)' equal to zero and attempt to solve: Simplifying 5 + 6x + 7x2 = 0 Solving 5 + 6x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + 0.8571428571x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + 0.8571428571x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + 0.8571428571x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + 0.8571428571x + x2 = 0 + -0.7142857143 0.8571428571x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 0.8571428571x + x2 = -0.7142857143 The x term is 0.8571428571x. Take half its coefficient (0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. 0.8571428571x + 0.1836734694 + x2 = -0.7142857143 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571x + x2 = -0.7142857143 + 0.1836734694 Combine like terms: -0.7142857143 + 0.1836734694 = -0.5306122449 0.1836734694 + 0.8571428571x + x2 = -0.5306122449 Factor a perfect square on the left side: (x + 0.4285714286)(x + 0.4285714286) = -0.5306122449 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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