7x^2+26x-19=11-3x

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Solution for 7x^2+26x-19=11-3x equation:


Simplifying
7x2 + 26x + -19 = 11 + -3x

Reorder the terms:
-19 + 26x + 7x2 = 11 + -3x

Solving
-19 + 26x + 7x2 = 11 + -3x

Solving for variable 'x'.

Reorder the terms:
-19 + -11 + 26x + 3x + 7x2 = 11 + -3x + -11 + 3x

Combine like terms: -19 + -11 = -30
-30 + 26x + 3x + 7x2 = 11 + -3x + -11 + 3x

Combine like terms: 26x + 3x = 29x
-30 + 29x + 7x2 = 11 + -3x + -11 + 3x

Reorder the terms:
-30 + 29x + 7x2 = 11 + -11 + -3x + 3x

Combine like terms: 11 + -11 = 0
-30 + 29x + 7x2 = 0 + -3x + 3x
-30 + 29x + 7x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-30 + 29x + 7x2 = 0

Factor a trinomial.
(-5 + -1x)(6 + -7x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571

Solution

x = {-5, 0.8571428571}

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