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Simplifying 4500 = 30x + -1x2 Solving 4500 = 30x + -1x2 Solving for variable 'x'. Reorder the terms: 4500 + -30x + x2 = 30x + -30x + -1x2 + x2 Combine like terms: 30x + -30x = 0 4500 + -30x + x2 = 0 + -1x2 + x2 4500 + -30x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4500 + -30x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4500' to each side of the equation. 4500 + -30x + -4500 + x2 = 0 + -4500 Reorder the terms: 4500 + -4500 + -30x + x2 = 0 + -4500 Combine like terms: 4500 + -4500 = 0 0 + -30x + x2 = 0 + -4500 -30x + x2 = 0 + -4500 Combine like terms: 0 + -4500 = -4500 -30x + x2 = -4500 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = -4500 + 225 Reorder the terms: 225 + -30x + x2 = -4500 + 225 Combine like terms: -4500 + 225 = -4275 225 + -30x + x2 = -4275 Factor a perfect square on the left side: (x + -15)(x + -15) = -4275 Can't calculate square root of the right side. The solution to this equation could not be determined.
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