21x^2+80x+75=

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Solution for 21x^2+80x+75= equation:


Simplifying
21x2 + 80x + 75 = 0

Reorder the terms:
75 + 80x + 21x2 = 0

Solving
75 + 80x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + 7x)(5 + 3x) = 0

Subproblem 1

Set the factor '(15 + 7x)' equal to zero and attempt to solve: Simplifying 15 + 7x = 0 Solving 15 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 0 + -15 7x = 0 + -15 Combine like terms: 0 + -15 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143

Subproblem 2

Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {-2.142857143, -1.666666667}

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