3x^2-10x+4=-3

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Solution for 3x^2-10x+4=-3 equation:


Simplifying
3x2 + -10x + 4 = -3

Reorder the terms:
4 + -10x + 3x2 = -3

Solving
4 + -10x + 3x2 = -3

Solving for variable 'x'.

Reorder the terms:
4 + 3 + -10x + 3x2 = -3 + 3

Combine like terms: 4 + 3 = 7
7 + -10x + 3x2 = -3 + 3

Combine like terms: -3 + 3 = 0
7 + -10x + 3x2 = 0

Factor a trinomial.
(1 + -1x)(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

Solution

x = {1, 2.333333333}

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