-7(10r^2-4r)+6(7r^2+6r)=

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Solution for -7(10r^2-4r)+6(7r^2+6r)= equation:


Simplifying
-7(10r2 + -4r) + 6(7r2 + 6r) = 0

Reorder the terms:
-7(-4r + 10r2) + 6(7r2 + 6r) = 0
(-4r * -7 + 10r2 * -7) + 6(7r2 + 6r) = 0
(28r + -70r2) + 6(7r2 + 6r) = 0

Reorder the terms:
28r + -70r2 + 6(6r + 7r2) = 0
28r + -70r2 + (6r * 6 + 7r2 * 6) = 0
28r + -70r2 + (36r + 42r2) = 0

Reorder the terms:
28r + 36r + -70r2 + 42r2 = 0

Combine like terms: 28r + 36r = 64r
64r + -70r2 + 42r2 = 0

Combine like terms: -70r2 + 42r2 = -28r2
64r + -28r2 = 0

Solving
64r + -28r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4r'.
4r(16 + -7r) = 0

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

Set the factor '(16 + -7r)' equal to zero and attempt to solve: Simplifying 16 + -7r = 0 Solving 16 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7r = 0 + -16 -7r = 0 + -16 Combine like terms: 0 + -16 = -16 -7r = -16 Divide each side by '-7'. r = 2.285714286 Simplifying r = 2.285714286

Solution

r = {0, 2.285714286}

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