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Simplifying 7x + -15x2 = 12 Solving 7x + -15x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 7x + -15x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 7x + -15x2 = 0 Begin completing the square. Divide all terms by -15 the coefficient of the squared term: Divide each side by '-15'. 0.8 + -0.4666666667x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.4666666667x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.4666666667x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.4666666667x + x2 = 0 + -0.8 -0.4666666667x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.4666666667x + x2 = -0.8 The x term is -0.4666666667x. Take half its coefficient (-0.2333333334). Square it (0.05444444448) and add it to both sides. Add '0.05444444448' to each side of the equation. -0.4666666667x + 0.05444444448 + x2 = -0.8 + 0.05444444448 Reorder the terms: 0.05444444448 + -0.4666666667x + x2 = -0.8 + 0.05444444448 Combine like terms: -0.8 + 0.05444444448 = -0.74555555552 0.05444444448 + -0.4666666667x + x2 = -0.74555555552 Factor a perfect square on the left side: (x + -0.2333333334)(x + -0.2333333334) = -0.74555555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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