9x^2-2x+16=-26x

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Solution for 9x^2-2x+16=-26x equation:


Simplifying
9x2 + -2x + 16 = -26x

Reorder the terms:
16 + -2x + 9x2 = -26x

Solving
16 + -2x + 9x2 = -26x

Solving for variable 'x'.

Reorder the terms:
16 + -2x + 26x + 9x2 = -26x + 26x

Combine like terms: -2x + 26x = 24x
16 + 24x + 9x2 = -26x + 26x

Combine like terms: -26x + 26x = 0
16 + 24x + 9x2 = 0

Factor a trinomial.
(4 + 3x)(4 + 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 '(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

Solution

x = {-1.333333333, -1.333333333}

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