0=9x^2+19x-28

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Solution for 0=9x^2+19x-28 equation:


Simplifying
0 = 9x2 + 19x + -28

Reorder the terms:
0 = -28 + 19x + 9x2

Solving
0 = -28 + 19x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + 28 = 28
28 + -19x + -9x2 = -28 + 19x + 9x2 + 28 + -19x + -9x2

Reorder the terms:
28 + -19x + -9x2 = -28 + 28 + 19x + -19x + 9x2 + -9x2

Combine like terms: -28 + 28 = 0
28 + -19x + -9x2 = 0 + 19x + -19x + 9x2 + -9x2
28 + -19x + -9x2 = 19x + -19x + 9x2 + -9x2

Combine like terms: 19x + -19x = 0
28 + -19x + -9x2 = 0 + 9x2 + -9x2
28 + -19x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
28 + -19x + -9x2 = 0

Factor a trinomial.
(1 + -1x)(28 + 9x) = 0

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(28 + 9x)' equal to zero and attempt to solve: Simplifying 28 + 9x = 0 Solving 28 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 9x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 9x = 0 + -28 9x = 0 + -28 Combine like terms: 0 + -28 = -28 9x = -28 Divide each side by '9'. x = -3.111111111 Simplifying x = -3.111111111

Solution

x = {1, -3.111111111}

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