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Simplifying 5x2 + 3x + -14 = -70 Reorder the terms: -14 + 3x + 5x2 = -70 Solving -14 + 3x + 5x2 = -70 Solving for variable 'x'. Reorder the terms: -14 + 70 + 3x + 5x2 = -70 + 70 Combine like terms: -14 + 70 = 56 56 + 3x + 5x2 = -70 + 70 Combine like terms: -70 + 70 = 0 56 + 3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 11.2 + 0.6x + x2 = 0 Move the constant term to the right: Add '-11.2' to each side of the equation. 11.2 + 0.6x + -11.2 + x2 = 0 + -11.2 Reorder the terms: 11.2 + -11.2 + 0.6x + x2 = 0 + -11.2 Combine like terms: 11.2 + -11.2 = 0.0 0.0 + 0.6x + x2 = 0 + -11.2 0.6x + x2 = 0 + -11.2 Combine like terms: 0 + -11.2 = -11.2 0.6x + x2 = -11.2 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -11.2 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -11.2 + 0.09 Combine like terms: -11.2 + 0.09 = -11.11 0.09 + 0.6x + x2 = -11.11 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -11.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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