3x^2-14x+8=8

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Solution for 3x^2-14x+8=8 equation:


Simplifying
3x2 + -14x + 8 = 8

Reorder the terms:
8 + -14x + 3x2 = 8

Add '-8' to each side of the equation.
8 + -14x + -8 + 3x2 = 8 + -8

Reorder the terms:
8 + -8 + -14x + 3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -14x + 3x2 = 8 + -8
-14x + 3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-14x + 3x2 = 0

Solving
-14x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 3x) = 0

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 '(-14 + 3x)' equal to zero and attempt to solve: Simplifying -14 + 3x = 0 Solving -14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667

Solution

x = {0, 4.666666667}

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