4x^2+9x-8-(x-3)=0

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Solution for 4x^2+9x-8-(x-3)=0 equation:


Simplifying
4x2 + 9x + -8 + -1(x + -3) = 0

Reorder the terms:
4x2 + 9x + -8 + -1(-3 + x) = 0
4x2 + 9x + -8 + (-3 * -1 + x * -1) = 0
4x2 + 9x + -8 + (3 + -1x) = 0

Reorder the terms:
-8 + 3 + 9x + -1x + 4x2 = 0

Combine like terms: -8 + 3 = -5
-5 + 9x + -1x + 4x2 = 0

Combine like terms: 9x + -1x = 8x
-5 + 8x + 4x2 = 0

Solving
-5 + 8x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-2.5, 0.5}

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