=11-14x+3x^2

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Solution for =11-14x+3x^2 equation:


Simplifying
0 = 11 + -14x + 3x2

Solving
0 = 11 + -14x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -11 = -11
-11 + 14x + -3x2 = 11 + -14x + 3x2 + -11 + 14x + -3x2

Reorder the terms:
-11 + 14x + -3x2 = 11 + -11 + -14x + 14x + 3x2 + -3x2

Combine like terms: 11 + -11 = 0
-11 + 14x + -3x2 = 0 + -14x + 14x + 3x2 + -3x2
-11 + 14x + -3x2 = -14x + 14x + 3x2 + -3x2

Combine like terms: -14x + 14x = 0
-11 + 14x + -3x2 = 0 + 3x2 + -3x2
-11 + 14x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-11 + 14x + -3x2 = 0

Factor a trinomial.
(-11 + 3x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-11 + 3x)' equal to zero and attempt to solve: Simplifying -11 + 3x = 0 Solving -11 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 0 + 11 3x = 0 + 11 Combine like terms: 0 + 11 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {3.666666667, 1}

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