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Simplifying (5x3 + x7)(4x4) + 3x7 = 0 Remove parenthesis around (4x4) (5x3 + x7) * 4x4 + 3x7 = 0 Reorder the terms for easier multiplication: 4x4(5x3 + x7) + 3x7 = 0 (5x3 * 4x4 + x7 * 4x4) + 3x7 = 0 (20x7 + 4x11) + 3x7 = 0 Reorder the terms: 20x7 + 3x7 + 4x11 = 0 Combine like terms: 20x7 + 3x7 = 23x7 23x7 + 4x11 = 0 Solving 23x7 + 4x11 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x7'. x7(23 + 4x4) = 0Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 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 '(23 + 4x4)' equal to zero and attempt to solve: Simplifying 23 + 4x4 = 0 Solving 23 + 4x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4x4 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4x4 = 0 + -23 4x4 = 0 + -23 Combine like terms: 0 + -23 = -23 4x4 = -23 Divide each side by '4'. x4 = -5.75 Simplifying x4 = -5.75 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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