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Simplifying -11 + 10x(p + 10) = 4 + -5(2p + 11) Reorder the terms: -11 + 10x(10 + p) = 4 + -5(2p + 11) -11 + (10 * 10x + p * 10x) = 4 + -5(2p + 11) Reorder the terms: -11 + (10px + 100x) = 4 + -5(2p + 11) -11 + (10px + 100x) = 4 + -5(2p + 11) Reorder the terms: -11 + 10px + 100x = 4 + -5(11 + 2p) -11 + 10px + 100x = 4 + (11 * -5 + 2p * -5) -11 + 10px + 100x = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 -11 + 10px + 100x = -51 + -10p Solving -11 + 10px + 100x = -51 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -11 + 10px + 10p + 100x = -51 + -10p + 10p Reorder the terms: -11 + 10p + 10px + 100x = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 -11 + 10p + 10px + 100x = -51 + 0 -11 + 10p + 10px + 100x = -51 Add '11' to each side of the equation. -11 + 10p + 10px + 11 + 100x = -51 + 11 Reorder the terms: -11 + 11 + 10p + 10px + 100x = -51 + 11 Combine like terms: -11 + 11 = 0 0 + 10p + 10px + 100x = -51 + 11 10p + 10px + 100x = -51 + 11 Combine like terms: -51 + 11 = -40 10p + 10px + 100x = -40 Add '-100x' to each side of the equation. 10p + 10px + 100x + -100x = -40 + -100x Combine like terms: 100x + -100x = 0 10p + 10px + 0 = -40 + -100x 10p + 10px = -40 + -100x Reorder the terms: 40 + 10p + 10px + 100x = -40 + -100x + 40 + 100x Reorder the terms: 40 + 10p + 10px + 100x = -40 + 40 + -100x + 100x Combine like terms: -40 + 40 = 0 40 + 10p + 10px + 100x = 0 + -100x + 100x 40 + 10p + 10px + 100x = -100x + 100x Combine like terms: -100x + 100x = 0 40 + 10p + 10px + 100x = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(4 + p + px + 10x) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(4 + p + px + 10x)' equal to zero and attempt to solve: Simplifying 4 + p + px + 10x = 0 Solving 4 + p + px + 10x = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + p + px + -4 + 10x = 0 + -4 Reorder the terms: 4 + -4 + p + px + 10x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p + px + 10x = 0 + -4 p + px + 10x = 0 + -4 Combine like terms: 0 + -4 = -4 p + px + 10x = -4 Add '-10x' to each side of the equation. p + px + 10x + -10x = -4 + -10x Combine like terms: 10x + -10x = 0 p + px + 0 = -4 + -10x p + px = -4 + -10x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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