x(1+21x)=10

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Solution for x(1+21x)=10 equation:


Simplifying
x(1 + 21x) = 10
(1 * x + 21x * x) = 10
(1x + 21x2) = 10

Solving
1x + 21x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 1x + 21x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 1x + 21x2 = 0

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

Subproblem 1

Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-0.7142857143, 0.6666666667}

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