0=12X^2-21X

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Solution for 0=12X^2-21X equation:


Simplifying
0 = 12X2 + -21X

Reorder the terms:
0 = -21X + 12X2

Solving
0 = -21X + 12X2

Solving for variable 'X'.
Remove the zero:
21X + -12X2 = -21X + 12X2 + 21X + -12X2

Reorder the terms:
21X + -12X2 = -21X + 21X + 12X2 + -12X2

Combine like terms: -21X + 21X = 0
21X + -12X2 = 0 + 12X2 + -12X2
21X + -12X2 = 12X2 + -12X2

Combine like terms: 12X2 + -12X2 = 0
21X + -12X2 = 0

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

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -4X)' equal to zero and attempt to solve: Simplifying 7 + -4X = 0 Solving 7 + -4X = 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 + -4X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4X = 0 + -7 -4X = 0 + -7 Combine like terms: 0 + -7 = -7 -4X = -7 Divide each side by '-4'. X = 1.75 Simplifying X = 1.75

Solution

X = {0, 1.75}

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