4x^2-13x+6=-4x+1

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Solution for 4x^2-13x+6=-4x+1 equation:


Simplifying
4x2 + -13x + 6 = -4x + 1

Reorder the terms:
6 + -13x + 4x2 = -4x + 1

Reorder the terms:
6 + -13x + 4x2 = 1 + -4x

Solving
6 + -13x + 4x2 = 1 + -4x

Solving for variable 'x'.

Reorder the terms:
6 + -1 + -13x + 4x + 4x2 = 1 + -4x + -1 + 4x

Combine like terms: 6 + -1 = 5
5 + -13x + 4x + 4x2 = 1 + -4x + -1 + 4x

Combine like terms: -13x + 4x = -9x
5 + -9x + 4x2 = 1 + -4x + -1 + 4x

Reorder the terms:
5 + -9x + 4x2 = 1 + -1 + -4x + 4x

Combine like terms: 1 + -1 = 0
5 + -9x + 4x2 = 0 + -4x + 4x
5 + -9x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
5 + -9x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(5 + -4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Solution

x = {1, 1.25}

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