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Simplifying -144 = 2x + -5x(-5x + -9) Reorder the terms: -144 = 2x + -5x(-9 + -5x) -144 = 2x + (-9 * -5x + -5x * -5x) -144 = 2x + (45x + 25x2) Combine like terms: 2x + 45x = 47x -144 = 47x + 25x2 Solving -144 = 47x + 25x2 Solving for variable 'x'. Reorder the terms: -144 + -47x + -25x2 = 47x + -47x + 25x2 + -25x2 Combine like terms: 47x + -47x = 0 -144 + -47x + -25x2 = 0 + 25x2 + -25x2 -144 + -47x + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -144 + -47x + -25x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(144 + 47x + 25x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(144 + 47x + 25x2)' equal to zero and attempt to solve: Simplifying 144 + 47x + 25x2 = 0 Solving 144 + 47x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 5.76 + 1.88x + x2 = 0 Move the constant term to the right: Add '-5.76' to each side of the equation. 5.76 + 1.88x + -5.76 + x2 = 0 + -5.76 Reorder the terms: 5.76 + -5.76 + 1.88x + x2 = 0 + -5.76 Combine like terms: 5.76 + -5.76 = 0.00 0.00 + 1.88x + x2 = 0 + -5.76 1.88x + x2 = 0 + -5.76 Combine like terms: 0 + -5.76 = -5.76 1.88x + x2 = -5.76 The x term is 1.88x. Take half its coefficient (0.94). Square it (0.8836) and add it to both sides. Add '0.8836' to each side of the equation. 1.88x + 0.8836 + x2 = -5.76 + 0.8836 Reorder the terms: 0.8836 + 1.88x + x2 = -5.76 + 0.8836 Combine like terms: -5.76 + 0.8836 = -4.8764 0.8836 + 1.88x + x2 = -4.8764 Factor a perfect square on the left side: (x + 0.94)(x + 0.94) = -4.8764 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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