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Simplifying 65x2 = 24x + -432 Reorder the terms: 65x2 = -432 + 24x Solving 65x2 = -432 + 24x Solving for variable 'x'. Reorder the terms: 432 + -24x + 65x2 = -432 + 24x + 432 + -24x Reorder the terms: 432 + -24x + 65x2 = -432 + 432 + 24x + -24x Combine like terms: -432 + 432 = 0 432 + -24x + 65x2 = 0 + 24x + -24x 432 + -24x + 65x2 = 24x + -24x Combine like terms: 24x + -24x = 0 432 + -24x + 65x2 = 0 Begin completing the square. Divide all terms by 65 the coefficient of the squared term: Divide each side by '65'. 6.646153846 + -0.3692307692x + x2 = 0 Move the constant term to the right: Add '-6.646153846' to each side of the equation. 6.646153846 + -0.3692307692x + -6.646153846 + x2 = 0 + -6.646153846 Reorder the terms: 6.646153846 + -6.646153846 + -0.3692307692x + x2 = 0 + -6.646153846 Combine like terms: 6.646153846 + -6.646153846 = 0.000000000 0.000000000 + -0.3692307692x + x2 = 0 + -6.646153846 -0.3692307692x + x2 = 0 + -6.646153846 Combine like terms: 0 + -6.646153846 = -6.646153846 -0.3692307692x + x2 = -6.646153846 The x term is -0.3692307692x. Take half its coefficient (-0.1846153846). Square it (0.03408284023) and add it to both sides. Add '0.03408284023' to each side of the equation. -0.3692307692x + 0.03408284023 + x2 = -6.646153846 + 0.03408284023 Reorder the terms: 0.03408284023 + -0.3692307692x + x2 = -6.646153846 + 0.03408284023 Combine like terms: -6.646153846 + 0.03408284023 = -6.61207100577 0.03408284023 + -0.3692307692x + x2 = -6.61207100577 Factor a perfect square on the left side: (x + -0.1846153846)(x + -0.1846153846) = -6.61207100577 Can't calculate square root of the right side. The solution to this equation could not be determined.
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