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Simplifying x2 + 10x + 24 = (x + 6)(x + r) Reorder the terms: 24 + 10x + x2 = (x + 6)(x + r) Reorder the terms: 24 + 10x + x2 = (6 + x)(x + r) Reorder the terms: 24 + 10x + x2 = (6 + x)(r + x) Multiply (6 + x) * (r + x) 24 + 10x + x2 = (6(r + x) + x(r + x)) 24 + 10x + x2 = ((r * 6 + x * 6) + x(r + x)) 24 + 10x + x2 = ((6r + 6x) + x(r + x)) 24 + 10x + x2 = (6r + 6x + (r * x + x * x)) 24 + 10x + x2 = (6r + 6x + (rx + x2)) Reorder the terms: 24 + 10x + x2 = (6r + rx + 6x + x2) 24 + 10x + x2 = (6r + rx + 6x + x2) Add '-1x2' to each side of the equation. 24 + 10x + x2 + -1x2 = 6r + rx + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 10x + 0 = 6r + rx + 6x + x2 + -1x2 24 + 10x = 6r + rx + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 10x = 6r + rx + 6x + 0 24 + 10x = 6r + rx + 6x Solving 24 + 10x = 6r + rx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1rx' to each side of the equation. 24 + -1rx + 10x = 6r + rx + -1rx + 6x Combine like terms: rx + -1rx = 0 24 + -1rx + 10x = 6r + 0 + 6x 24 + -1rx + 10x = 6r + 6x Add '-6x' to each side of the equation. 24 + -1rx + 10x + -6x = 6r + 6x + -6x Combine like terms: 10x + -6x = 4x 24 + -1rx + 4x = 6r + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -1rx + 4x = 6r + 0 24 + -1rx + 4x = 6r Add '-24' to each side of the equation. 24 + -1rx + -24 + 4x = -24 + 6r Reorder the terms: 24 + -24 + -1rx + 4x = -24 + 6r Combine like terms: 24 + -24 = 0 0 + -1rx + 4x = -24 + 6r -1rx + 4x = -24 + 6r Reorder the terms: 24 + -6r + -1rx + 4x = -24 + 6r + 24 + -6r Reorder the terms: 24 + -6r + -1rx + 4x = -24 + 24 + 6r + -6r Combine like terms: -24 + 24 = 0 24 + -6r + -1rx + 4x = 0 + 6r + -6r 24 + -6r + -1rx + 4x = 6r + -6r Combine like terms: 6r + -6r = 0 24 + -6r + -1rx + 4x = 0 The solution to this equation could not be determined.
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