-153+45x+2x^2=0

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Solution for -153+45x+2x^2=0 equation:


Simplifying
-153 + 45x + 2x2 = 0

Solving
-153 + 45x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-51 + -2x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-51 + -2x)' equal to zero and attempt to solve: Simplifying -51 + -2x = 0 Solving -51 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -2x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -2x = 0 + 51 -2x = 0 + 51 Combine like terms: 0 + 51 = 51 -2x = 51 Divide each side by '-2'. x = -25.5 Simplifying x = -25.5

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-25.5, 3}

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