(5r^2-5r+6)(8r-8)=0

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Solution for (5r^2-5r+6)(8r-8)=0 equation:


Simplifying
(5r2 + -5r + 6)(8r + -8) = 0

Reorder the terms:
(6 + -5r + 5r2)(8r + -8) = 0

Reorder the terms:
(6 + -5r + 5r2)(-8 + 8r) = 0

Multiply (6 + -5r + 5r2) * (-8 + 8r)
(6(-8 + 8r) + -5r * (-8 + 8r) + 5r2 * (-8 + 8r)) = 0
((-8 * 6 + 8r * 6) + -5r * (-8 + 8r) + 5r2 * (-8 + 8r)) = 0
((-48 + 48r) + -5r * (-8 + 8r) + 5r2 * (-8 + 8r)) = 0
(-48 + 48r + (-8 * -5r + 8r * -5r) + 5r2 * (-8 + 8r)) = 0
(-48 + 48r + (40r + -40r2) + 5r2 * (-8 + 8r)) = 0
(-48 + 48r + 40r + -40r2 + (-8 * 5r2 + 8r * 5r2)) = 0
(-48 + 48r + 40r + -40r2 + (-40r2 + 40r3)) = 0

Combine like terms: 48r + 40r = 88r
(-48 + 88r + -40r2 + -40r2 + 40r3) = 0

Combine like terms: -40r2 + -40r2 = -80r2
(-48 + 88r + -80r2 + 40r3) = 0

Solving
-48 + 88r + -80r2 + 40r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-6 + 11r + -10r2 + 5r3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-6 + 11r + -10r2 + 5r3)' equal to zero and attempt to solve: Simplifying -6 + 11r + -10r2 + 5r3 = 0 Solving -6 + 11r + -10r2 + 5r3 = 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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