7x^2-19x+9=-1

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Solution for 7x^2-19x+9=-1 equation:


Simplifying
7x2 + -19x + 9 = -1

Reorder the terms:
9 + -19x + 7x2 = -1

Solving
9 + -19x + 7x2 = -1

Solving for variable 'x'.

Reorder the terms:
9 + 1 + -19x + 7x2 = -1 + 1

Combine like terms: 9 + 1 = 10
10 + -19x + 7x2 = -1 + 1

Combine like terms: -1 + 1 = 0
10 + -19x + 7x2 = 0

Factor a trinomial.
(5 + -7x)(2 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0.7142857143, 2}

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