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Simplifying ax2 + 5x + 6 = 1.41666 Reorder the terms: 6 + ax2 + 5x = 1.41666 Solving 6 + ax2 + 5x = 1.41666 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + ax2 + -6 + 5x = 1.41666 + -6 Reorder the terms: 6 + -6 + ax2 + 5x = 1.41666 + -6 Combine like terms: 6 + -6 = 0 0 + ax2 + 5x = 1.41666 + -6 ax2 + 5x = 1.41666 + -6 Combine like terms: 1.41666 + -6 = -4.58334 ax2 + 5x = -4.58334 Add '-5x' to each side of the equation. ax2 + 5x + -5x = -4.58334 + -5x Combine like terms: 5x + -5x = 0 ax2 + 0 = -4.58334 + -5x ax2 = -4.58334 + -5x Divide each side by 'x2'. a = -4.58334x-2 + -5x-1 Simplifying a = -4.58334x-2 + -5x-1
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