(5y+10)(y^2-7y+10)=0

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Solution for (5y+10)(y^2-7y+10)=0 equation:


Simplifying
(5y + 10)(y2 + -7y + 10) = 0

Reorder the terms:
(10 + 5y)(y2 + -7y + 10) = 0

Reorder the terms:
(10 + 5y)(10 + -7y + y2) = 0

Multiply (10 + 5y) * (10 + -7y + y2)
(10(10 + -7y + y2) + 5y * (10 + -7y + y2)) = 0
((10 * 10 + -7y * 10 + y2 * 10) + 5y * (10 + -7y + y2)) = 0
((100 + -70y + 10y2) + 5y * (10 + -7y + y2)) = 0
(100 + -70y + 10y2 + (10 * 5y + -7y * 5y + y2 * 5y)) = 0
(100 + -70y + 10y2 + (50y + -35y2 + 5y3)) = 0

Reorder the terms:
(100 + -70y + 50y + 10y2 + -35y2 + 5y3) = 0

Combine like terms: -70y + 50y = -20y
(100 + -20y + 10y2 + -35y2 + 5y3) = 0

Combine like terms: 10y2 + -35y2 = -25y2
(100 + -20y + -25y2 + 5y3) = 0

Solving
100 + -20y + -25y2 + 5y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(20 + -4y + -5y2 + y3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(20 + -4y + -5y2 + y3)' equal to zero and attempt to solve: Simplifying 20 + -4y + -5y2 + y3 = 0 Solving 20 + -4y + -5y2 + y3 = 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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