4x^2-23x+26=-2x+6

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Solution for 4x^2-23x+26=-2x+6 equation:


Simplifying
4x2 + -23x + 26 = -2x + 6

Reorder the terms:
26 + -23x + 4x2 = -2x + 6

Reorder the terms:
26 + -23x + 4x2 = 6 + -2x

Solving
26 + -23x + 4x2 = 6 + -2x

Solving for variable 'x'.

Reorder the terms:
26 + -6 + -23x + 2x + 4x2 = 6 + -2x + -6 + 2x

Combine like terms: 26 + -6 = 20
20 + -23x + 2x + 4x2 = 6 + -2x + -6 + 2x

Combine like terms: -23x + 2x = -21x
20 + -21x + 4x2 = 6 + -2x + -6 + 2x

Reorder the terms:
20 + -21x + 4x2 = 6 + -6 + -2x + 2x

Combine like terms: 6 + -6 = 0
20 + -21x + 4x2 = 0 + -2x + 2x
20 + -21x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
20 + -21x + 4x2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {1.25, 4}

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