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Simplifying -4E + -5x2 + 0.0139x + 1.0188 = 1.5 Reorder the terms: 1.0188 + -4E + 0.0139x + -5x2 = 1.5 Solving 1.0188 + -4E + 0.0139x + -5x2 = 1.5 Solving for variable 'E'. Move all terms containing E to the left, all other terms to the right. Add '-1.0188' to each side of the equation. 1.0188 + -4E + 0.0139x + -1.0188 + -5x2 = 1.5 + -1.0188 Reorder the terms: 1.0188 + -1.0188 + -4E + 0.0139x + -5x2 = 1.5 + -1.0188 Combine like terms: 1.0188 + -1.0188 = 0.0000 0.0000 + -4E + 0.0139x + -5x2 = 1.5 + -1.0188 -4E + 0.0139x + -5x2 = 1.5 + -1.0188 Combine like terms: 1.5 + -1.0188 = 0.4812 -4E + 0.0139x + -5x2 = 0.4812 Add '-0.0139x' to each side of the equation. -4E + 0.0139x + -0.0139x + -5x2 = 0.4812 + -0.0139x Combine like terms: 0.0139x + -0.0139x = 0.0000 -4E + 0.0000 + -5x2 = 0.4812 + -0.0139x -4E + -5x2 = 0.4812 + -0.0139x Add '5x2' to each side of the equation. -4E + -5x2 + 5x2 = 0.4812 + -0.0139x + 5x2 Combine like terms: -5x2 + 5x2 = 0 -4E + 0 = 0.4812 + -0.0139x + 5x2 -4E = 0.4812 + -0.0139x + 5x2 Divide each side by '-4'. E = -0.1203 + 0.003475x + -1.25x2 Simplifying E = -0.1203 + 0.003475x + -1.25x2
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