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

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


Simplifying
(7r + 4)(2r + -6) = 0

Reorder the terms:
(4 + 7r)(2r + -6) = 0

Reorder the terms:
(4 + 7r)(-6 + 2r) = 0

Multiply (4 + 7r) * (-6 + 2r)
(4(-6 + 2r) + 7r * (-6 + 2r)) = 0
((-6 * 4 + 2r * 4) + 7r * (-6 + 2r)) = 0
((-24 + 8r) + 7r * (-6 + 2r)) = 0
(-24 + 8r + (-6 * 7r + 2r * 7r)) = 0
(-24 + 8r + (-42r + 14r2)) = 0

Combine like terms: 8r + -42r = -34r
(-24 + -34r + 14r2) = 0

Solving
-24 + -34r + 14r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -17r + 7r2) = 0

Factor a trinomial.
2((-4 + -7r)(3 + -1r)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -7r)' equal to zero and attempt to solve: Simplifying -4 + -7r = 0 Solving -4 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7r = 0 + 4 -7r = 0 + 4 Combine like terms: 0 + 4 = 4 -7r = 4 Divide each side by '-7'. r = -0.5714285714 Simplifying r = -0.5714285714

Subproblem 2

Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3

Solution

r = {-0.5714285714, 3}

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