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Simplifying 4x(15x + 3)(7x + -5) = 180 Reorder the terms: 4x(3 + 15x)(7x + -5) = 180 Reorder the terms: 4x(3 + 15x)(-5 + 7x) = 180 Multiply (3 + 15x) * (-5 + 7x) 4x(3(-5 + 7x) + 15x * (-5 + 7x)) = 180 4x((-5 * 3 + 7x * 3) + 15x * (-5 + 7x)) = 180 4x((-15 + 21x) + 15x * (-5 + 7x)) = 180 4x(-15 + 21x + (-5 * 15x + 7x * 15x)) = 180 4x(-15 + 21x + (-75x + 105x2)) = 180 Combine like terms: 21x + -75x = -54x 4x(-15 + -54x + 105x2) = 180 (-15 * 4x + -54x * 4x + 105x2 * 4x) = 180 (-60x + -216x2 + 420x3) = 180 Solving -60x + -216x2 + 420x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + -60x + -216x2 + 420x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + -60x + -216x2 + 420x3 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-15 + -5x + -18x2 + 35x3) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-15 + -5x + -18x2 + 35x3)' equal to zero and attempt to solve: Simplifying -15 + -5x + -18x2 + 35x3 = 0 Solving -15 + -5x + -18x2 + 35x3 = 0 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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