4x^2-5x=133+4x

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Solution for 4x^2-5x=133+4x equation:


Simplifying
4x2 + -5x = 133 + 4x

Reorder the terms:
-5x + 4x2 = 133 + 4x

Solving
-5x + 4x2 = 133 + 4x

Solving for variable 'x'.

Reorder the terms:
-133 + -5x + -4x + 4x2 = 133 + 4x + -133 + -4x

Combine like terms: -5x + -4x = -9x
-133 + -9x + 4x2 = 133 + 4x + -133 + -4x

Reorder the terms:
-133 + -9x + 4x2 = 133 + -133 + 4x + -4x

Combine like terms: 133 + -133 = 0
-133 + -9x + 4x2 = 0 + 4x + -4x
-133 + -9x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-133 + -9x + 4x2 = 0

Factor a trinomial.
(-19 + -4x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-19 + -4x)' equal to zero and attempt to solve: Simplifying -19 + -4x = 0 Solving -19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 0 + 19 -4x = 0 + 19 Combine like terms: 0 + 19 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-4.75, 7}

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