(2c+5)(3c-2)=

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Solution for (2c+5)(3c-2)= equation:


Simplifying
(2c + 5)(3c + -2) = 0

Reorder the terms:
(5 + 2c)(3c + -2) = 0

Reorder the terms:
(5 + 2c)(-2 + 3c) = 0

Multiply (5 + 2c) * (-2 + 3c)
(5(-2 + 3c) + 2c * (-2 + 3c)) = 0
((-2 * 5 + 3c * 5) + 2c * (-2 + 3c)) = 0
((-10 + 15c) + 2c * (-2 + 3c)) = 0
(-10 + 15c + (-2 * 2c + 3c * 2c)) = 0
(-10 + 15c + (-4c + 6c2)) = 0

Combine like terms: 15c + -4c = 11c
(-10 + 11c + 6c2) = 0

Solving
-10 + 11c + 6c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-5 + -2c)(2 + -3c) = 0

Subproblem 1

Set the factor '(-5 + -2c)' equal to zero and attempt to solve: Simplifying -5 + -2c = 0 Solving -5 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2c = 0 + 5 -2c = 0 + 5 Combine like terms: 0 + 5 = 5 -2c = 5 Divide each side by '-2'. c = -2.5 Simplifying c = -2.5

Subproblem 2

Set the factor '(2 + -3c)' equal to zero and attempt to solve: Simplifying 2 + -3c = 0 Solving 2 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 0 + -2 -3c = 0 + -2 Combine like terms: 0 + -2 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667

Solution

c = {-2.5, 0.6666666667}

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