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Simplifying 4x7 + -28x6 + 48x5 + 0x4 + 0x3 + 0x2 + 0x + 0 = 0 Anything times zero is zero. 4x7 + -28x6 + 48x5 + 0x4 + 0x3 + 0x2 + 0x + 0 = 0 Anything times zero is zero. 4x7 + -28x6 + 48x5 + 0 + 0x3 + 0x2 + 0x + 0 = 0 Anything times zero is zero. 4x7 + -28x6 + 48x5 + 0 + 0 + 0x2 + 0x + 0 = 0 Anything times zero is zero. 4x7 + -28x6 + 48x5 + 0 + 0 + 0 + 0x + 0 = 0 Reorder the terms: 0 + 0 + 0 + 0 + 0 + 48x5 + -28x6 + 4x7 = 0 Combine like terms: 0 + 0 = 0 0 + 0 + 0 + 0 + 48x5 + -28x6 + 4x7 = 0 0 + 0 + 0 + 48x5 + -28x6 + 4x7 = 0 Combine like terms: 0 + 0 = 0 0 + 0 + 48x5 + -28x6 + 4x7 = 0 0 + 48x5 + -28x6 + 4x7 = 0 Remove the zero: 48x5 + -28x6 + 4x7 = 0 Solving 48x5 + -28x6 + 4x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x5'. 4x5(12 + -7x + x2) = 0 Factor a trinomial. 4x5((3 + -1x)(4 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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