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Simplifying (15x2 + -10x + -7) + (6x2 + 8) = 0 Reorder the terms: (-7 + -10x + 15x2) + (6x2 + 8) = 0 Remove parenthesis around (-7 + -10x + 15x2) -7 + -10x + 15x2 + (6x2 + 8) = 0 Reorder the terms: -7 + -10x + 15x2 + (8 + 6x2) = 0 Remove parenthesis around (8 + 6x2) -7 + -10x + 15x2 + 8 + 6x2 = 0 Reorder the terms: -7 + 8 + -10x + 15x2 + 6x2 = 0 Combine like terms: -7 + 8 = 1 1 + -10x + 15x2 + 6x2 = 0 Combine like terms: 15x2 + 6x2 = 21x2 1 + -10x + 21x2 = 0 Solving 1 + -10x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -7x)(1 + -3x) = 0Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0.1428571429, 0.3333333333}
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