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Simplifying x2 + -4a2 + 12x + 36 = 0 Reorder the terms: 36 + -4a2 + 12x + x2 = 0 Solving 36 + -4a2 + 12x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -4a2 + 12x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -4a2 + 12x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4a2 + 12x + x2 = 0 + -36 -4a2 + 12x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -4a2 + 12x + x2 = -36 Add '-12x' to each side of the equation. -4a2 + 12x + -12x + x2 = -36 + -12x Combine like terms: 12x + -12x = 0 -4a2 + 0 + x2 = -36 + -12x -4a2 + x2 = -36 + -12x Add '-1x2' to each side of the equation. -4a2 + x2 + -1x2 = -36 + -12x + -1x2 Combine like terms: x2 + -1x2 = 0 -4a2 + 0 = -36 + -12x + -1x2 -4a2 = -36 + -12x + -1x2 Divide each side by '-4'. a2 = 9 + 3x + 0.25x2 Simplifying a2 = 9 + 3x + 0.25x2 Reorder the terms: -9 + a2 + -3x + -0.25x2 = 9 + 3x + 0.25x2 + -9 + -3x + -0.25x2 Reorder the terms: -9 + a2 + -3x + -0.25x2 = 9 + -9 + 3x + -3x + 0.25x2 + -0.25x2 Combine like terms: 9 + -9 = 0 -9 + a2 + -3x + -0.25x2 = 0 + 3x + -3x + 0.25x2 + -0.25x2 -9 + a2 + -3x + -0.25x2 = 3x + -3x + 0.25x2 + -0.25x2 Combine like terms: 3x + -3x = 0 -9 + a2 + -3x + -0.25x2 = 0 + 0.25x2 + -0.25x2 -9 + a2 + -3x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -9 + a2 + -3x + -0.25x2 = 0.00 The solution to this equation could not be determined.
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