2(4y^2-5y)-(y^2-3y)=

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Solution for 2(4y^2-5y)-(y^2-3y)= equation:


Simplifying
2(4y2 + -5y) + -1(y2 + -3y) = 0

Reorder the terms:
2(-5y + 4y2) + -1(y2 + -3y) = 0
(-5y * 2 + 4y2 * 2) + -1(y2 + -3y) = 0
(-10y + 8y2) + -1(y2 + -3y) = 0

Reorder the terms:
-10y + 8y2 + -1(-3y + y2) = 0
-10y + 8y2 + (-3y * -1 + y2 * -1) = 0
-10y + 8y2 + (3y + -1y2) = 0

Reorder the terms:
-10y + 3y + 8y2 + -1y2 = 0

Combine like terms: -10y + 3y = -7y
-7y + 8y2 + -1y2 = 0

Combine like terms: 8y2 + -1y2 = 7y2
-7y + 7y2 = 0

Solving
-7y + 7y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7y'.
7y(-1 + y) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1

Solution

y = {0, 1}

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