5(7x^2+1)+11x=11

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Solution for 5(7x^2+1)+11x=11 equation:


Simplifying
5(7x2 + 1) + 11x = 11

Reorder the terms:
5(1 + 7x2) + 11x = 11
(1 * 5 + 7x2 * 5) + 11x = 11
(5 + 35x2) + 11x = 11

Reorder the terms:
5 + 11x + 35x2 = 11

Solving
5 + 11x + 35x2 = 11

Solving for variable 'x'.

Reorder the terms:
5 + -11 + 11x + 35x2 = 11 + -11

Combine like terms: 5 + -11 = -6
-6 + 11x + 35x2 = 11 + -11

Combine like terms: 11 + -11 = 0
-6 + 11x + 35x2 = 0

Factor a trinomial.
(-3 + -5x)(2 + -7x) = 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 '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Solution

x = {-0.6, 0.2857142857}

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