4x^2-33x+5=-3

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Solution for 4x^2-33x+5=-3 equation:


Simplifying
4x2 + -33x + 5 = -3

Reorder the terms:
5 + -33x + 4x2 = -3

Solving
5 + -33x + 4x2 = -3

Solving for variable 'x'.

Reorder the terms:
5 + 3 + -33x + 4x2 = -3 + 3

Combine like terms: 5 + 3 = 8
8 + -33x + 4x2 = -3 + 3

Combine like terms: -3 + 3 = 0
8 + -33x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {0.25, 8}

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