4x^2-27x+29=-6x+2

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Solution for 4x^2-27x+29=-6x+2 equation:


Simplifying
4x2 + -27x + 29 = -6x + 2

Reorder the terms:
29 + -27x + 4x2 = -6x + 2

Reorder the terms:
29 + -27x + 4x2 = 2 + -6x

Solving
29 + -27x + 4x2 = 2 + -6x

Solving for variable 'x'.

Reorder the terms:
29 + -2 + -27x + 6x + 4x2 = 2 + -6x + -2 + 6x

Combine like terms: 29 + -2 = 27
27 + -27x + 6x + 4x2 = 2 + -6x + -2 + 6x

Combine like terms: -27x + 6x = -21x
27 + -21x + 4x2 = 2 + -6x + -2 + 6x

Reorder the terms:
27 + -21x + 4x2 = 2 + -2 + -6x + 6x

Combine like terms: 2 + -2 = 0
27 + -21x + 4x2 = 0 + -6x + 6x
27 + -21x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
27 + -21x + 4x2 = 0

Factor a trinomial.
(9 + -4x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {2.25, 3}

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