4x^2-23x+8=-6x+4

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Solution for 4x^2-23x+8=-6x+4 equation:


Simplifying
4x2 + -23x + 8 = -6x + 4

Reorder the terms:
8 + -23x + 4x2 = -6x + 4

Reorder the terms:
8 + -23x + 4x2 = 4 + -6x

Solving
8 + -23x + 4x2 = 4 + -6x

Solving for variable 'x'.

Reorder the terms:
8 + -4 + -23x + 6x + 4x2 = 4 + -6x + -4 + 6x

Combine like terms: 8 + -4 = 4
4 + -23x + 6x + 4x2 = 4 + -6x + -4 + 6x

Combine like terms: -23x + 6x = -17x
4 + -17x + 4x2 = 4 + -6x + -4 + 6x

Reorder the terms:
4 + -17x + 4x2 = 4 + -4 + -6x + 6x

Combine like terms: 4 + -4 = 0
4 + -17x + 4x2 = 0 + -6x + 6x
4 + -17x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
4 + -17x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(4 + -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 '(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 = {0.25, 4}

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