10x^2+17x+7=0

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Solution for 10x^2+17x+7=0 equation:


Simplifying
10x2 + 17x + 7 = 0

Reorder the terms:
7 + 17x + 10x2 = 0

Solving
7 + 17x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(7 + 10x) = 0

Subproblem 1

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(7 + 10x)' equal to zero and attempt to solve: Simplifying 7 + 10x = 0 Solving 7 + 10x = 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 + 10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 0 + -7 10x = 0 + -7 Combine like terms: 0 + -7 = -7 10x = -7 Divide each side by '10'. x = -0.7 Simplifying x = -0.7

Solution

x = {-1, -0.7}

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