3x(29-4x)=21

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Solution for 3x(29-4x)=21 equation:


Simplifying
3x(29 + -4x) = 21
(29 * 3x + -4x * 3x) = 21
(87x + -12x2) = 21

Solving
87x + -12x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + 87x + -12x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 87x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 29x + -4x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25

Solution

x = {7, 0.25}

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