10x^2-41x=-21

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Solution for 10x^2-41x=-21 equation:


Simplifying
10x2 + -41x = -21

Reorder the terms:
-41x + 10x2 = -21

Solving
-41x + 10x2 = -21

Solving for variable 'x'.

Reorder the terms:
21 + -41x + 10x2 = -21 + 21

Combine like terms: -21 + 21 = 0
21 + -41x + 10x2 = 0

Factor a trinomial.
(3 + -5x)(7 + -2x) = 0

Subproblem 1

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Subproblem 2

Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5

Solution

x = {0.6, 3.5}

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