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Simplifying (-13x2 + -25x + 32) + -1(-2x2 + -1x + -3) + (19x2 + 16w + -26) = 0 Reorder the terms: (32 + -25x + -13x2) + -1(-2x2 + -1x + -3) + (19x2 + 16w + -26) = 0 Remove parenthesis around (32 + -25x + -13x2) 32 + -25x + -13x2 + -1(-2x2 + -1x + -3) + (19x2 + 16w + -26) = 0 Reorder the terms: 32 + -25x + -13x2 + -1(-3 + -1x + -2x2) + (19x2 + 16w + -26) = 0 32 + -25x + -13x2 + (-3 * -1 + -1x * -1 + -2x2 * -1) + (19x2 + 16w + -26) = 0 32 + -25x + -13x2 + (3 + 1x + 2x2) + (19x2 + 16w + -26) = 0 Reorder the terms: 32 + -25x + -13x2 + 3 + 1x + 2x2 + (-26 + 16w + 19x2) = 0 Remove parenthesis around (-26 + 16w + 19x2) 32 + -25x + -13x2 + 3 + 1x + 2x2 + -26 + 16w + 19x2 = 0 Reorder the terms: 32 + 3 + -26 + 16w + -25x + 1x + -13x2 + 2x2 + 19x2 = 0 Combine like terms: 32 + 3 = 35 35 + -26 + 16w + -25x + 1x + -13x2 + 2x2 + 19x2 = 0 Combine like terms: 35 + -26 = 9 9 + 16w + -25x + 1x + -13x2 + 2x2 + 19x2 = 0 Combine like terms: -25x + 1x = -24x 9 + 16w + -24x + -13x2 + 2x2 + 19x2 = 0 Combine like terms: -13x2 + 2x2 = -11x2 9 + 16w + -24x + -11x2 + 19x2 = 0 Combine like terms: -11x2 + 19x2 = 8x2 9 + 16w + -24x + 8x2 = 0 Solving 9 + 16w + -24x + 8x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 16w + -24x + -9 + 8x2 = 0 + -9 Reorder the terms: 9 + -9 + 16w + -24x + 8x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16w + -24x + 8x2 = 0 + -9 16w + -24x + 8x2 = 0 + -9 Combine like terms: 0 + -9 = -9 16w + -24x + 8x2 = -9 Add '24x' to each side of the equation. 16w + -24x + 24x + 8x2 = -9 + 24x Combine like terms: -24x + 24x = 0 16w + 0 + 8x2 = -9 + 24x 16w + 8x2 = -9 + 24x Add '-8x2' to each side of the equation. 16w + 8x2 + -8x2 = -9 + 24x + -8x2 Combine like terms: 8x2 + -8x2 = 0 16w + 0 = -9 + 24x + -8x2 16w = -9 + 24x + -8x2 Divide each side by '16'. w = -0.5625 + 1.5x + -0.5x2 Simplifying w = -0.5625 + 1.5x + -0.5x2
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