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Simplifying 12x + -4x2 + 25n2 + -9 = 0 Reorder the terms: -9 + 25n2 + 12x + -4x2 = 0 Solving -9 + 25n2 + 12x + -4x2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 25n2 + 12x + 9 + -4x2 = 0 + 9 Reorder the terms: -9 + 9 + 25n2 + 12x + -4x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 25n2 + 12x + -4x2 = 0 + 9 25n2 + 12x + -4x2 = 0 + 9 Combine like terms: 0 + 9 = 9 25n2 + 12x + -4x2 = 9 Add '-12x' to each side of the equation. 25n2 + 12x + -12x + -4x2 = 9 + -12x Combine like terms: 12x + -12x = 0 25n2 + 0 + -4x2 = 9 + -12x 25n2 + -4x2 = 9 + -12x Add '4x2' to each side of the equation. 25n2 + -4x2 + 4x2 = 9 + -12x + 4x2 Combine like terms: -4x2 + 4x2 = 0 25n2 + 0 = 9 + -12x + 4x2 25n2 = 9 + -12x + 4x2 Divide each side by '25'. n2 = 0.36 + -0.48x + 0.16x2 Simplifying n2 = 0.36 + -0.48x + 0.16x2 Reorder the terms: -0.36 + n2 + 0.48x + -0.16x2 = 0.36 + -0.48x + 0.16x2 + -0.36 + 0.48x + -0.16x2 Reorder the terms: -0.36 + n2 + 0.48x + -0.16x2 = 0.36 + -0.36 + -0.48x + 0.48x + 0.16x2 + -0.16x2 Combine like terms: 0.36 + -0.36 = 0.00 -0.36 + n2 + 0.48x + -0.16x2 = 0.00 + -0.48x + 0.48x + 0.16x2 + -0.16x2 -0.36 + n2 + 0.48x + -0.16x2 = -0.48x + 0.48x + 0.16x2 + -0.16x2 Combine like terms: -0.48x + 0.48x = 0.00 -0.36 + n2 + 0.48x + -0.16x2 = 0.00 + 0.16x2 + -0.16x2 -0.36 + n2 + 0.48x + -0.16x2 = 0.16x2 + -0.16x2 Combine like terms: 0.16x2 + -0.16x2 = 0.00 -0.36 + n2 + 0.48x + -0.16x2 = 0.00 The solution to this equation could not be determined.
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