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Simplifying P(x) = -7x2 + 21x Multiply P * x xP = -7x2 + 21x Reorder the terms: xP = 21x + -7x2 Solving xP = 21x + -7x2 Solving for variable 'x'. Reorder the terms: -21x + xP + 7x2 = 21x + -7x2 + -21x + 7x2 Reorder the terms: -21x + xP + 7x2 = 21x + -21x + -7x2 + 7x2 Combine like terms: 21x + -21x = 0 -21x + xP + 7x2 = 0 + -7x2 + 7x2 -21x + xP + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -21x + xP + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + P + 7x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-21 + P + 7x)' equal to zero and attempt to solve: Simplifying -21 + P + 7x = 0 Solving -21 + P + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + P + 21 + 7x = 0 + 21 Reorder the terms: -21 + 21 + P + 7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + P + 7x = 0 + 21 P + 7x = 0 + 21 Combine like terms: 0 + 21 = 21 P + 7x = 21 Add '-1P' to each side of the equation. P + -1P + 7x = 21 + -1P Combine like terms: P + -1P = 0 0 + 7x = 21 + -1P 7x = 21 + -1P Divide each side by '7'. x = 3 + -0.1428571429P Simplifying x = 3 + -0.1428571429PSolution
x = {0, 3 + -0.1428571429P}
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