5x^2-37x+11=-3

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Solution for 5x^2-37x+11=-3 equation:


Simplifying
5x2 + -37x + 11 = -3

Reorder the terms:
11 + -37x + 5x2 = -3

Solving
11 + -37x + 5x2 = -3

Solving for variable 'x'.

Reorder the terms:
11 + 3 + -37x + 5x2 = -3 + 3

Combine like terms: 11 + 3 = 14
14 + -37x + 5x2 = -3 + 3

Combine like terms: -3 + 3 = 0
14 + -37x + 5x2 = 0

Factor a trinomial.
(2 + -5x)(7 + -1x) = 0

Subproblem 1

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {0.4, 7}

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