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Simplifying (1)(x4) + (4x3)(x + 3) = 0 Remove parenthesis around (4x3) 1x4 + 4x3(x + 3) = 0 Reorder the terms: 1x4 + 4x3(3 + x) = 0 1x4 + (3 * 4x3 + x * 4x3) = 0 1x4 + (12x3 + 4x4) = 0 Reorder the terms: 12x3 + 1x4 + 4x4 = 0 Combine like terms: 1x4 + 4x4 = 5x4 12x3 + 5x4 = 0 Solving 12x3 + 5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(12 + 5x) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(12 + 5x)' equal to zero and attempt to solve: Simplifying 12 + 5x = 0 Solving 12 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 0 + -12 5x = 0 + -12 Combine like terms: 0 + -12 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4Solution
x = {-2.4}
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