9x^2-36x+29=-3

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Solution for 9x^2-36x+29=-3 equation:


Simplifying
9x2 + -36x + 29 = -3

Reorder the terms:
29 + -36x + 9x2 = -3

Solving
29 + -36x + 9x2 = -3

Solving for variable 'x'.

Reorder the terms:
29 + 3 + -36x + 9x2 = -3 + 3

Combine like terms: 29 + 3 = 32
32 + -36x + 9x2 = -3 + 3

Combine like terms: -3 + 3 = 0
32 + -36x + 9x2 = 0

Factor a trinomial.
(4 + -3x)(8 + -3x) = 0

Subproblem 1

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 2

Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {1.333333333, 2.666666667}

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