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Simplifying (21 + -2x)(21 + -2x) * x = 0 Reorder the terms for easier multiplication: x(21 + -2x)(21 + -2x) = 0 Multiply (21 + -2x) * (21 + -2x) x(21(21 + -2x) + -2x * (21 + -2x)) = 0 x((21 * 21 + -2x * 21) + -2x * (21 + -2x)) = 0 x((441 + -42x) + -2x * (21 + -2x)) = 0 x(441 + -42x + (21 * -2x + -2x * -2x)) = 0 x(441 + -42x + (-42x + 4x2)) = 0 Combine like terms: -42x + -42x = -84x x(441 + -84x + 4x2) = 0 (441 * x + -84x * x + 4x2 * x) = 0 (441x + -84x2 + 4x3) = 0 Solving 441x + -84x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(441 + -84x + 4x2) = 0 Factor a trinomial. x((21 + -2x)(21 + -2x)) = 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 + -2x)' equal to zero and attempt to solve: Simplifying 21 + -2x = 0 Solving 21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 0 + -21 -2x = 0 + -21 Combine like terms: 0 + -21 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5Subproblem 3
Set the factor '(21 + -2x)' equal to zero and attempt to solve: Simplifying 21 + -2x = 0 Solving 21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 0 + -21 -2x = 0 + -21 Combine like terms: 0 + -21 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5Solution
x = {0, 10.5, 10.5}
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