(3c-4)(7c+1)=0

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Solution for (3c-4)(7c+1)=0 equation:


Simplifying
(3c + -4)(7c + 1) = 0

Reorder the terms:
(-4 + 3c)(7c + 1) = 0

Reorder the terms:
(-4 + 3c)(1 + 7c) = 0

Multiply (-4 + 3c) * (1 + 7c)
(-4(1 + 7c) + 3c * (1 + 7c)) = 0
((1 * -4 + 7c * -4) + 3c * (1 + 7c)) = 0
((-4 + -28c) + 3c * (1 + 7c)) = 0
(-4 + -28c + (1 * 3c + 7c * 3c)) = 0
(-4 + -28c + (3c + 21c2)) = 0

Combine like terms: -28c + 3c = -25c
(-4 + -25c + 21c2) = 0

Solving
-4 + -25c + 21c2 = 0

Solving for variable 'c'.

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

Subproblem 1

Set the factor '(-1 + -7c)' equal to zero and attempt to solve: Simplifying -1 + -7c = 0 Solving -1 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7c = 0 + 1 -7c = 0 + 1 Combine like terms: 0 + 1 = 1 -7c = 1 Divide each side by '-7'. c = -0.1428571429 Simplifying c = -0.1428571429

Subproblem 2

Set the factor '(4 + -3c)' equal to zero and attempt to solve: Simplifying 4 + -3c = 0 Solving 4 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = 0 + -4 -3c = 0 + -4 Combine like terms: 0 + -4 = -4 -3c = -4 Divide each side by '-3'. c = 1.333333333 Simplifying c = 1.333333333

Solution

c = {-0.1428571429, 1.333333333}

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