-57x=42+18x^2

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Solution for -57x=42+18x^2 equation:


Simplifying
-57x = 42 + 18x2

Solving
-57x = 42 + 18x2

Solving for variable 'x'.

Reorder the terms:
-42 + -57x + -18x2 = 42 + 18x2 + -42 + -18x2

Reorder the terms:
-42 + -57x + -18x2 = 42 + -42 + 18x2 + -18x2

Combine like terms: 42 + -42 = 0
-42 + -57x + -18x2 = 0 + 18x2 + -18x2
-42 + -57x + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-42 + -57x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(14 + 19x + 6x2) = 0

Factor a trinomial.
-3((2 + x)(7 + 6x)) = 0

Ignore the factor -3.

Subproblem 1

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

Subproblem 2

Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667

Solution

x = {-2, -1.166666667}

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