2x^2+15x=63

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Solution for 2x^2+15x=63 equation:


Simplifying
2x2 + 15x = 63

Reorder the terms:
15x + 2x2 = 63

Solving
15x + 2x2 = 63

Solving for variable 'x'.

Reorder the terms:
-63 + 15x + 2x2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + 15x + 2x2 = 0

Factor a trinomial.
(-21 + -2x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-21 + -2x)' equal to zero and attempt to solve: Simplifying -21 + -2x = 0 Solving -21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 0 + 21 -2x = 0 + 21 Combine like terms: 0 + 21 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-10.5, 3}

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