16x^2-7x+9+31x=0

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Solution for 16x^2-7x+9+31x=0 equation:


Simplifying
16x2 + -7x + 9 + 31x = 0

Reorder the terms:
9 + -7x + 31x + 16x2 = 0

Combine like terms: -7x + 31x = 24x
9 + 24x + 16x2 = 0

Solving
9 + 24x + 16x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {-0.75, -0.75}

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