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Simplifying 5(3 + -11x) * x = 7 Reorder the terms for easier multiplication: 5x(3 + -11x) = 7 (3 * 5x + -11x * 5x) = 7 (15x + -55x2) = 7 Solving 15x + -55x2 = 7 Solving for variable 'x'. Reorder the terms: -7 + 15x + -55x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 15x + -55x2 = 0 Begin completing the square. Divide all terms by -55 the coefficient of the squared term: Divide each side by '-55'. 0.1272727273 + -0.2727272727x + x2 = 0 Move the constant term to the right: Add '-0.1272727273' to each side of the equation. 0.1272727273 + -0.2727272727x + -0.1272727273 + x2 = 0 + -0.1272727273 Reorder the terms: 0.1272727273 + -0.1272727273 + -0.2727272727x + x2 = 0 + -0.1272727273 Combine like terms: 0.1272727273 + -0.1272727273 = 0.0000000000 0.0000000000 + -0.2727272727x + x2 = 0 + -0.1272727273 -0.2727272727x + x2 = 0 + -0.1272727273 Combine like terms: 0 + -0.1272727273 = -0.1272727273 -0.2727272727x + x2 = -0.1272727273 The x term is -0.2727272727x. Take half its coefficient (-0.1363636364). Square it (0.01859504133) and add it to both sides. Add '0.01859504133' to each side of the equation. -0.2727272727x + 0.01859504133 + x2 = -0.1272727273 + 0.01859504133 Reorder the terms: 0.01859504133 + -0.2727272727x + x2 = -0.1272727273 + 0.01859504133 Combine like terms: -0.1272727273 + 0.01859504133 = -0.10867768597 0.01859504133 + -0.2727272727x + x2 = -0.10867768597 Factor a perfect square on the left side: (x + -0.1363636364)(x + -0.1363636364) = -0.10867768597 Can't calculate square root of the right side. The solution to this equation could not be determined.
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