4x^2-33x+26=-8x+1

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Solution for 4x^2-33x+26=-8x+1 equation:


Simplifying
4x2 + -33x + 26 = -8x + 1

Reorder the terms:
26 + -33x + 4x2 = -8x + 1

Reorder the terms:
26 + -33x + 4x2 = 1 + -8x

Solving
26 + -33x + 4x2 = 1 + -8x

Solving for variable 'x'.

Reorder the terms:
26 + -1 + -33x + 8x + 4x2 = 1 + -8x + -1 + 8x

Combine like terms: 26 + -1 = 25
25 + -33x + 8x + 4x2 = 1 + -8x + -1 + 8x

Combine like terms: -33x + 8x = -25x
25 + -25x + 4x2 = 1 + -8x + -1 + 8x

Reorder the terms:
25 + -25x + 4x2 = 1 + -1 + -8x + 8x

Combine like terms: 1 + -1 = 0
25 + -25x + 4x2 = 0 + -8x + 8x
25 + -25x + 4x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
25 + -25x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {1.25, 5}

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