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Simplifying 4x(x + 7) = -10(y + x) Reorder the terms: 4x(7 + x) = -10(y + x) (7 * 4x + x * 4x) = -10(y + x) (28x + 4x2) = -10(y + x) Reorder the terms: 28x + 4x2 = -10(x + y) 28x + 4x2 = (x * -10 + y * -10) 28x + 4x2 = (-10x + -10y) Solving 28x + 4x2 = -10x + -10y Solving for variable 'x'. Reorder the terms: 28x + 10x + 4x2 + 10y = -10x + -10y + 10x + 10y Combine like terms: 28x + 10x = 38x 38x + 4x2 + 10y = -10x + -10y + 10x + 10y Reorder the terms: 38x + 4x2 + 10y = -10x + 10x + -10y + 10y Combine like terms: -10x + 10x = 0 38x + 4x2 + 10y = 0 + -10y + 10y 38x + 4x2 + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 38x + 4x2 + 10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(19x + 2x2 + 5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(19x + 2x2 + 5y)' equal to zero and attempt to solve: Simplifying 19x + 2x2 + 5y = 0 Solving 19x + 2x2 + 5y = 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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