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Simplifying (h + -1)(x + 2) = 2x2 + -3x + 5 Reorder the terms: (-1 + h)(x + 2) = 2x2 + -3x + 5 Reorder the terms: (-1 + h)(2 + x) = 2x2 + -3x + 5 Multiply (-1 + h) * (2 + x) (-1(2 + x) + h(2 + x)) = 2x2 + -3x + 5 ((2 * -1 + x * -1) + h(2 + x)) = 2x2 + -3x + 5 ((-2 + -1x) + h(2 + x)) = 2x2 + -3x + 5 (-2 + -1x + (2 * h + x * h)) = 2x2 + -3x + 5 (-2 + -1x + (2h + hx)) = 2x2 + -3x + 5 Reorder the terms: (-2 + 2h + hx + -1x) = 2x2 + -3x + 5 (-2 + 2h + hx + -1x) = 2x2 + -3x + 5 Reorder the terms: -2 + 2h + hx + -1x = 5 + -3x + 2x2 Solving -2 + 2h + hx + -1x = 5 + -3x + 2x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2h + hx + 2 + -1x = 5 + -3x + 2 + 2x2 Reorder the terms: -2 + 2 + 2h + hx + -1x = 5 + -3x + 2 + 2x2 Combine like terms: -2 + 2 = 0 0 + 2h + hx + -1x = 5 + -3x + 2 + 2x2 2h + hx + -1x = 5 + -3x + 2 + 2x2 Reorder the terms: 2h + hx + -1x = 5 + 2 + -3x + 2x2 Combine like terms: 5 + 2 = 7 2h + hx + -1x = 7 + -3x + 2x2 Add 'x' to each side of the equation. 2h + hx + -1x + x = 7 + -3x + x + 2x2 Combine like terms: -1x + x = 0 2h + hx + 0 = 7 + -3x + x + 2x2 2h + hx = 7 + -3x + x + 2x2 Combine like terms: -3x + x = -2x 2h + hx = 7 + -2x + 2x2 Reorder the terms: -7 + 2h + hx + 2x + -2x2 = 7 + -2x + 2x2 + -7 + 2x + -2x2 Reorder the terms: -7 + 2h + hx + 2x + -2x2 = 7 + -7 + -2x + 2x + 2x2 + -2x2 Combine like terms: 7 + -7 = 0 -7 + 2h + hx + 2x + -2x2 = 0 + -2x + 2x + 2x2 + -2x2 -7 + 2h + hx + 2x + -2x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -7 + 2h + hx + 2x + -2x2 = 0 + 2x2 + -2x2 -7 + 2h + hx + 2x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -7 + 2h + hx + 2x + -2x2 = 0 The solution to this equation could not be determined.
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