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Simplifying 3x2 + 4x2 + bx + -2 = 0 Reorder the terms: -2 + bx + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 -2 + bx + 7x2 = 0 Solving -2 + bx + 7x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + bx + 2 + 7x2 = 0 + 2 Reorder the terms: -2 + 2 + bx + 7x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + bx + 7x2 = 0 + 2 bx + 7x2 = 0 + 2 Combine like terms: 0 + 2 = 2 bx + 7x2 = 2 Add '-7x2' to each side of the equation. bx + 7x2 + -7x2 = 2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 bx + 0 = 2 + -7x2 bx = 2 + -7x2 Divide each side by 'x'. b = 2x-1 + -7x Simplifying b = 2x-1 + -7x
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