3x^2+5x+6.25=8.25

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Solution for 3x^2+5x+6.25=8.25 equation:


Simplifying
3x2 + 5x + 6.25 = 8.25

Reorder the terms:
6.25 + 5x + 3x2 = 8.25

Solving
6.25 + 5x + 3x2 = 8.25

Solving for variable 'x'.

Reorder the terms:
6.25 + -8.25 + 5x + 3x2 = 8.25 + -8.25

Combine like terms: 6.25 + -8.25 = -2
-2 + 5x + 3x2 = 8.25 + -8.25

Combine like terms: 8.25 + -8.25 = 0.00
-2 + 5x + 3x2 = 0.00

Factor a trinomial.
(-2 + -1x)(1 + -3x) = 0.00

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {-2, 0.3333333333}

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