4x^2+57x+189=0

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Solution for 4x^2+57x+189=0 equation:


Simplifying
4x2 + 57x + 189 = 0

Reorder the terms:
189 + 57x + 4x2 = 0

Solving
189 + 57x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(21 + 4x) = 0

Subproblem 1

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(21 + 4x)' equal to zero and attempt to solve: Simplifying 21 + 4x = 0 Solving 21 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 0 + -21 4x = 0 + -21 Combine like terms: 0 + -21 = -21 4x = -21 Divide each side by '4'. x = -5.25 Simplifying x = -5.25

Solution

x = {-9, -5.25}

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