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Simplifying 57263857638746x(57438754x + 5x + 5743x) = 58325698475387568(5x + -54376) Combine like terms: 57438754x + 5x = 57438759x 57263857638746x(57438759x + 5743x) = 58325698475387568(5x + -54376) Combine like terms: 57438759x + 5743x = 57444502x 57263857638746x(57444502x) = 58325698475387568(5x + -54376) Remove parenthesis around (57444502x) 57263857638746x * 57444502x = 58325698475387568(5x + -54376) Reorder the terms for easier multiplication: 57263857638746 * 57444502x * x = 58325698475387568(5x + -54376) Multiply 57263857638746 * 57444502 3289493785000000000000x * x = 58325698475387568(5x + -54376) Multiply x * x 3289493785000000000000x2 = 58325698475387568(5x + -54376) Reorder the terms: 3289493785000000000000x2 = 58325698475387568(-54376 + 5x) 3289493785000000000000x2 = (-54376 * 58325698475387568 + 5x * 58325698475387568) 3289493785000000000000x2 = (-3171518180000000000000 + 291628492400000000x) Solving 3289493785000000000000x2 = -3171518180000000000000 + 291628492400000000x Solving for variable 'x'. Reorder the terms: 3171518180000000000000 + -291628492400000000x + 3289493785000000000000x2 = -3171518180000000000000 + 291628492400000000x + 3171518180000000000000 + -291628492400000000x Reorder the terms: 3171518180000000000000 + -291628492400000000x + 3289493785000000000000x2 = -3171518180000000000000 + 3171518180000000000000 + 291628492400000000x + -291628492400000000x Combine like terms: -3171518180000000000000 + 3171518180000000000000 = 0 3171518180000000000000 + -291628492400000000x + 3289493785000000000000x2 = 0 + 291628492400000000x + -291628492400000000x 3171518180000000000000 + -291628492400000000x + 3289493785000000000000x2 = 291628492400000000x + -291628492400000000x Combine like terms: 291628492400000000x + -291628492400000000x = 0 3171518180000000000000 + -291628492400000000x + 3289493785000000000000x2 = 0 Factor out the Greatest Common Factor (GCF), '400000000'. 400000000(7928795450000 + -729071231x + 8223734463000x2) = 0 Ignore the factor 400000000.Subproblem 1
Set the factor '(7928795450000 + -729071231x + 8223734463000x2)' equal to zero and attempt to solve: Simplifying 7928795450000 + -729071231x + 8223734463000x2 = 0 Solving 7928795450000 + -729071231x + 8223734463000x2 = 0 Begin completing the square. Divide all terms by 8223734463000 the coefficient of the squared term: Divide each side by '8223734463000'. 0.9641356352 + -0.00008865451995x + x2 = 0.000 Move the constant term to the right: Add '-0.9641356352' to each side of the equation. 0.9641356352 + -0.00008865451995x + -0.9641356352 + x2 = 0.000 + -0.9641356352 Reorder the terms: 0.9641356352 + -0.9641356352 + -0.00008865451995x + x2 = 0.000 + -0.9641356352 Combine like terms: 0.9641356352 + -0.9641356352 = 0.0000000000 0.0000000000 + -0.00008865451995x + x2 = 0.000 + -0.9641356352 -0.00008865451995x + x2 = 0.000 + -0.9641356352 Combine like terms: 0.000 + -0.9641356352 = -0.9641356352 -0.00008865451995x + x2 = -0.9641356352 The x term is -0.00008865451995x. Take half its coefficient (-0.00004432725998). Square it (0.000000001964905977) and add it to both sides. Add '0.000000001964905977' to each side of the equation. -0.00008865451995x + 0.000000001964905977 + x2 = -0.9641356352 + 0.000000001964905977 Reorder the terms: 0.000000001964905977 + -0.00008865451995x + x2 = -0.9641356352 + 0.000000001964905977 Combine like terms: -0.9641356352 + 0.000000001964905977 = -0.964135633235094023 0.000000001964905977 + -0.00008865451995x + x2 = -0.964135633235094023 Factor a perfect square on the left side: (x + -0.00004432725998)(x + -0.00004432725998) = -0.964135633235094023 Can't calculate square root of the right side. 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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