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Simplifying 3x2 = (16) * 16x(4 + x) Multiply 16 * 16 3x2 = 256x(4 + x) 3x2 = (4 * 256x + x * 256x) 3x2 = (1024x + 256x2) Solving 3x2 = 1024x + 256x2 Solving for variable 'x'. Reorder the terms: -1024x + 3x2 + -256x2 = 1024x + 256x2 + -1024x + -256x2 Combine like terms: 3x2 + -256x2 = -253x2 -1024x + -253x2 = 1024x + 256x2 + -1024x + -256x2 Reorder the terms: -1024x + -253x2 = 1024x + -1024x + 256x2 + -256x2 Combine like terms: 1024x + -1024x = 0 -1024x + -253x2 = 0 + 256x2 + -256x2 -1024x + -253x2 = 256x2 + -256x2 Combine like terms: 256x2 + -256x2 = 0 -1024x + -253x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1024 + 253x) = 0 Ignore the factor -1.Subproblem 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 '(1024 + 253x)' equal to zero and attempt to solve: Simplifying 1024 + 253x = 0 Solving 1024 + 253x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1024' to each side of the equation. 1024 + -1024 + 253x = 0 + -1024 Combine like terms: 1024 + -1024 = 0 0 + 253x = 0 + -1024 253x = 0 + -1024 Combine like terms: 0 + -1024 = -1024 253x = -1024 Divide each side by '253'. x = -4.04743083 Simplifying x = -4.04743083Solution
x = {0, -4.04743083}
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