10X^2+23X=21

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Solution for 10X^2+23X=21 equation:


Simplifying
10X2 + 23X = 21

Reorder the terms:
23X + 10X2 = 21

Solving
23X + 10X2 = 21

Solving for variable 'X'.

Reorder the terms:
-21 + 23X + 10X2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 23X + 10X2 = 0

Factor a trinomial.
(-3 + -1X)(7 + -10X) = 0

Subproblem 1

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

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 = {-3, 0.7}

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