4x^2-25x+46=4x+1

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Solution for 4x^2-25x+46=4x+1 equation:


Simplifying
4x2 + -25x + 46 = 4x + 1

Reorder the terms:
46 + -25x + 4x2 = 4x + 1

Reorder the terms:
46 + -25x + 4x2 = 1 + 4x

Solving
46 + -25x + 4x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
46 + -1 + -25x + -4x + 4x2 = 1 + 4x + -1 + -4x

Combine like terms: 46 + -1 = 45
45 + -25x + -4x + 4x2 = 1 + 4x + -1 + -4x

Combine like terms: -25x + -4x = -29x
45 + -29x + 4x2 = 1 + 4x + -1 + -4x

Reorder the terms:
45 + -29x + 4x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
45 + -29x + 4x2 = 0 + 4x + -4x
45 + -29x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
45 + -29x + 4x2 = 0

Factor a trinomial.
(9 + -4x)(5 + -1x) = 0

Subproblem 1

Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25

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 = {2.25, 5}

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