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Simplifying -0.006x2 + 1.2x + 10 = 158 Reorder the terms: 10 + 1.2x + -0.006x2 = 158 Solving 10 + 1.2x + -0.006x2 = 158 Solving for variable 'x'. Reorder the terms: 10 + -158 + 1.2x + -0.006x2 = 158 + -158 Combine like terms: 10 + -158 = -148 -148 + 1.2x + -0.006x2 = 158 + -158 Combine like terms: 158 + -158 = 0 -148 + 1.2x + -0.006x2 = 0 Begin completing the square. Divide all terms by -0.006 the coefficient of the squared term: Divide each side by '-0.006'. 24666.66667 + -200x + x2 = 0 Move the constant term to the right: Add '-24666.66667' to each side of the equation. 24666.66667 + -200x + -24666.66667 + x2 = 0 + -24666.66667 Reorder the terms: 24666.66667 + -24666.66667 + -200x + x2 = 0 + -24666.66667 Combine like terms: 24666.66667 + -24666.66667 = 0.00000 0.00000 + -200x + x2 = 0 + -24666.66667 -200x + x2 = 0 + -24666.66667 Combine like terms: 0 + -24666.66667 = -24666.66667 -200x + x2 = -24666.66667 The x term is -200x. Take half its coefficient (-100). Square it (10000) and add it to both sides. Add '10000' to each side of the equation. -200x + 10000 + x2 = -24666.66667 + 10000 Reorder the terms: 10000 + -200x + x2 = -24666.66667 + 10000 Combine like terms: -24666.66667 + 10000 = -14666.66667 10000 + -200x + x2 = -14666.66667 Factor a perfect square on the left side: (x + -100)(x + -100) = -14666.66667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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