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Simplifying 12x(5x + 2) + -15y(5x + 2) = 21(5x + 2) Reorder the terms: 12x(2 + 5x) + -15y(5x + 2) = 21(5x + 2) (2 * 12x + 5x * 12x) + -15y(5x + 2) = 21(5x + 2) (24x + 60x2) + -15y(5x + 2) = 21(5x + 2) Reorder the terms: 24x + 60x2 + -15y(2 + 5x) = 21(5x + 2) 24x + 60x2 + (2 * -15y + 5x * -15y) = 21(5x + 2) Reorder the terms: 24x + 60x2 + (-75xy + -30y) = 21(5x + 2) 24x + 60x2 + (-75xy + -30y) = 21(5x + 2) Reorder the terms: 24x + -75xy + 60x2 + -30y = 21(5x + 2) Reorder the terms: 24x + -75xy + 60x2 + -30y = 21(2 + 5x) 24x + -75xy + 60x2 + -30y = (2 * 21 + 5x * 21) 24x + -75xy + 60x2 + -30y = (42 + 105x) Solving 24x + -75xy + 60x2 + -30y = 42 + 105x Solving for variable 'x'. Reorder the terms: -42 + 24x + -105x + -75xy + 60x2 + -30y = 42 + 105x + -42 + -105x Combine like terms: 24x + -105x = -81x -42 + -81x + -75xy + 60x2 + -30y = 42 + 105x + -42 + -105x Reorder the terms: -42 + -81x + -75xy + 60x2 + -30y = 42 + -42 + 105x + -105x Combine like terms: 42 + -42 = 0 -42 + -81x + -75xy + 60x2 + -30y = 0 + 105x + -105x -42 + -81x + -75xy + 60x2 + -30y = 105x + -105x Combine like terms: 105x + -105x = 0 -42 + -81x + -75xy + 60x2 + -30y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-14 + -27x + -25xy + 20x2 + -10y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-14 + -27x + -25xy + 20x2 + -10y)' equal to zero and attempt to solve: Simplifying -14 + -27x + -25xy + 20x2 + -10y = 0 Solving -14 + -27x + -25xy + 20x2 + -10y = 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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