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Simplifying (ax2 + -1bx + -5) + (4x2 + -3x + 4) = 10x2 + -5x + -1 Reorder the terms: (-5 + ax2 + -1bx) + (4x2 + -3x + 4) = 10x2 + -5x + -1 Remove parenthesis around (-5 + ax2 + -1bx) -5 + ax2 + -1bx + (4x2 + -3x + 4) = 10x2 + -5x + -1 Reorder the terms: -5 + ax2 + -1bx + (4 + -3x + 4x2) = 10x2 + -5x + -1 Remove parenthesis around (4 + -3x + 4x2) -5 + ax2 + -1bx + 4 + -3x + 4x2 = 10x2 + -5x + -1 Reorder the terms: -5 + 4 + ax2 + -1bx + -3x + 4x2 = 10x2 + -5x + -1 Combine like terms: -5 + 4 = -1 -1 + ax2 + -1bx + -3x + 4x2 = 10x2 + -5x + -1 Reorder the terms: -1 + ax2 + -1bx + -3x + 4x2 = -1 + -5x + 10x2 Add '1' to each side of the equation. -1 + ax2 + -1bx + -3x + 1 + 4x2 = -1 + -5x + 1 + 10x2 Reorder the terms: -1 + 1 + ax2 + -1bx + -3x + 4x2 = -1 + -5x + 1 + 10x2 Combine like terms: -1 + 1 = 0 0 + ax2 + -1bx + -3x + 4x2 = -1 + -5x + 1 + 10x2 ax2 + -1bx + -3x + 4x2 = -1 + -5x + 1 + 10x2 Reorder the terms: ax2 + -1bx + -3x + 4x2 = -1 + 1 + -5x + 10x2 Combine like terms: -1 + 1 = 0 ax2 + -1bx + -3x + 4x2 = 0 + -5x + 10x2 ax2 + -1bx + -3x + 4x2 = -5x + 10x2 Solving ax2 + -1bx + -3x + 4x2 = -5x + 10x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bx' to each side of the equation. ax2 + -1bx + -3x + bx + 4x2 = -5x + bx + 10x2 Reorder the terms: ax2 + -1bx + bx + -3x + 4x2 = -5x + bx + 10x2 Combine like terms: -1bx + bx = 0 ax2 + 0 + -3x + 4x2 = -5x + bx + 10x2 ax2 + -3x + 4x2 = -5x + bx + 10x2 Reorder the terms: ax2 + -3x + 4x2 = bx + -5x + 10x2 Add '3x' to each side of the equation. ax2 + -3x + 3x + 4x2 = bx + -5x + 3x + 10x2 Combine like terms: -3x + 3x = 0 ax2 + 0 + 4x2 = bx + -5x + 3x + 10x2 ax2 + 4x2 = bx + -5x + 3x + 10x2 Combine like terms: -5x + 3x = -2x ax2 + 4x2 = bx + -2x + 10x2 Add '-4x2' to each side of the equation. ax2 + 4x2 + -4x2 = bx + -2x + 10x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 ax2 + 0 = bx + -2x + 10x2 + -4x2 ax2 = bx + -2x + 10x2 + -4x2 Combine like terms: 10x2 + -4x2 = 6x2 ax2 = bx + -2x + 6x2 Divide each side by 'x2'. a = bx-1 + -2x-1 + 6 Simplifying a = bx-1 + -2x-1 + 6 Reorder the terms: a = 6 + bx-1 + -2x-1
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