4x^2-13x+8=-4x+6

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Solution for 4x^2-13x+8=-4x+6 equation:


Simplifying
4x2 + -13x + 8 = -4x + 6

Reorder the terms:
8 + -13x + 4x2 = -4x + 6

Reorder the terms:
8 + -13x + 4x2 = 6 + -4x

Solving
8 + -13x + 4x2 = 6 + -4x

Solving for variable 'x'.

Reorder the terms:
8 + -6 + -13x + 4x + 4x2 = 6 + -4x + -6 + 4x

Combine like terms: 8 + -6 = 2
2 + -13x + 4x + 4x2 = 6 + -4x + -6 + 4x

Combine like terms: -13x + 4x = -9x
2 + -9x + 4x2 = 6 + -4x + -6 + 4x

Reorder the terms:
2 + -9x + 4x2 = 6 + -6 + -4x + 4x

Combine like terms: 6 + -6 = 0
2 + -9x + 4x2 = 0 + -4x + 4x
2 + -9x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
2 + -9x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(2 + -1x) = 0

Subproblem 1

Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0.25, 2}

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