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Simplifying 4x(x + -3) + 5(x + 3) = 0 Reorder the terms: 4x(-3 + x) + 5(x + 3) = 0 (-3 * 4x + x * 4x) + 5(x + 3) = 0 (-12x + 4x2) + 5(x + 3) = 0 Reorder the terms: -12x + 4x2 + 5(3 + x) = 0 -12x + 4x2 + (3 * 5 + x * 5) = 0 -12x + 4x2 + (15 + 5x) = 0 Reorder the terms: 15 + -12x + 5x + 4x2 = 0 Combine like terms: -12x + 5x = -7x 15 + -7x + 4x2 = 0 Solving 15 + -7x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + -1.75x + x2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -1.75x + -3.75 + x2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -1.75x + x2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -1.75x + x2 = 0 + -3.75 -1.75x + x2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -1.75x + x2 = -3.75 The x term is -1.75x. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75x + 0.765625 + x2 = -3.75 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -3.75 + 0.765625 Combine like terms: -3.75 + 0.765625 = -2.984375 0.765625 + -1.75x + x2 = -2.984375 Factor a perfect square on the left side: (x + -0.875)(x + -0.875) = -2.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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