4x^2+360x-1701=0

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Solution for 4x^2+360x-1701=0 equation:


Simplifying
4x2 + 360x + -1701 = 0

Reorder the terms:
-1701 + 360x + 4x2 = 0

Solving
-1701 + 360x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-189 + -2x)(9 + -2x) = 0

Subproblem 1

Set the factor '(-189 + -2x)' equal to zero and attempt to solve: Simplifying -189 + -2x = 0 Solving -189 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '189' to each side of the equation. -189 + 189 + -2x = 0 + 189 Combine like terms: -189 + 189 = 0 0 + -2x = 0 + 189 -2x = 0 + 189 Combine like terms: 0 + 189 = 189 -2x = 189 Divide each side by '-2'. x = -94.5 Simplifying x = -94.5

Subproblem 2

Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5

Solution

x = {-94.5, 4.5}

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