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Simplifying 24 + 10x + -1(x)(x) = p + -1(x + -5)(x + -5) Multiply x * x 24 + 10x + -1x2 = p + -1(x + -5)(x + -5) Reorder the terms: 24 + 10x + -1x2 = p + -1(-5 + x)(x + -5) Reorder the terms: 24 + 10x + -1x2 = p + -1(-5 + x)(-5 + x) Multiply (-5 + x) * (-5 + x) 24 + 10x + -1x2 = p + -1(-5(-5 + x) + x(-5 + x)) 24 + 10x + -1x2 = p + -1((-5 * -5 + x * -5) + x(-5 + x)) 24 + 10x + -1x2 = p + -1((25 + -5x) + x(-5 + x)) 24 + 10x + -1x2 = p + -1(25 + -5x + (-5 * x + x * x)) 24 + 10x + -1x2 = p + -1(25 + -5x + (-5x + x2)) Combine like terms: -5x + -5x = -10x 24 + 10x + -1x2 = p + -1(25 + -10x + x2) 24 + 10x + -1x2 = p + (25 * -1 + -10x * -1 + x2 * -1) 24 + 10x + -1x2 = p + (-25 + 10x + -1x2) Reorder the terms: 24 + 10x + -1x2 = -25 + p + 10x + -1x2 Add '-10x' to each side of the equation. 24 + 10x + -10x + -1x2 = -25 + p + 10x + -10x + -1x2 Combine like terms: 10x + -10x = 0 24 + 0 + -1x2 = -25 + p + 10x + -10x + -1x2 24 + -1x2 = -25 + p + 10x + -10x + -1x2 Combine like terms: 10x + -10x = 0 24 + -1x2 = -25 + p + 0 + -1x2 24 + -1x2 = -25 + p + -1x2 Add 'x2' to each side of the equation. 24 + -1x2 + x2 = -25 + p + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 24 + 0 = -25 + p + -1x2 + x2 24 = -25 + p + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 24 = -25 + p + 0 24 = -25 + p Solving 24 = -25 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 24 + -1p = -25 + p + -1p Combine like terms: p + -1p = 0 24 + -1p = -25 + 0 24 + -1p = -25 Add '-24' to each side of the equation. 24 + -24 + -1p = -25 + -24 Combine like terms: 24 + -24 = 0 0 + -1p = -25 + -24 -1p = -25 + -24 Combine like terms: -25 + -24 = -49 -1p = -49 Divide each side by '-1'. p = 49 Simplifying p = 49
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