3x^2-26x+35=035

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Solution for 3x^2-26x+35=035 equation:


Simplifying
3x2 + -26x + 35 = 35

Reorder the terms:
35 + -26x + 3x2 = 35

Add '-35' to each side of the equation.
35 + -26x + -35 + 3x2 = 35 + -35

Reorder the terms:
35 + -35 + -26x + 3x2 = 35 + -35

Combine like terms: 35 + -35 = 0
0 + -26x + 3x2 = 35 + -35
-26x + 3x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-26x + 3x2 = 0

Solving
-26x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-26 + 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 '(-26 + 3x)' equal to zero and attempt to solve: Simplifying -26 + 3x = 0 Solving -26 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 3x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = 0 + 26 3x = 0 + 26 Combine like terms: 0 + 26 = 26 3x = 26 Divide each side by '3'. x = 8.666666667 Simplifying x = 8.666666667

Solution

x = {0, 8.666666667}

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