3x^2-13x+8=-4

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Solution for 3x^2-13x+8=-4 equation:


Simplifying
3x2 + -13x + 8 = -4

Reorder the terms:
8 + -13x + 3x2 = -4

Solving
8 + -13x + 3x2 = -4

Solving for variable 'x'.

Reorder the terms:
8 + 4 + -13x + 3x2 = -4 + 4

Combine like terms: 8 + 4 = 12
12 + -13x + 3x2 = -4 + 4

Combine like terms: -4 + 4 = 0
12 + -13x + 3x2 = 0

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

Subproblem 1

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {1.333333333, 3}

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